Edit Profile (opens in new tab) Grunewald, Fritz J. Compute Distance To: Compute Author ID: grunewald.fritz-j Published as: Grunewald, Fritz; Grunewald, F.; Grunewald, Fritz J.; Grunewald, F. J. more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 110 Publications since 1975, including 1 Book 4 Contributions as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 62 Co-Authors with 113 Joint Publications 1,298 Co-Co-Authors all top 5 Co-Authors 2 single-authored 28 Mennicke, Jens L. 22 Segal, Daniel 18 Elstrodt, Jürgen 11 Kunyavskiĭ, Boris Èmmanuilovich 6 Catanese, Fabrizio M. E. 6 Platonov, Vladimir Petrovich 5 Bandman, Tatiana M. 5 Bauer, Ingrid C. 5 du Sautoy, Marcus P. F. 5 Gordeev, Nikolai L. 5 Schwermer, Joachim 4 O’Halloran, Joyce 4 Zalesskii, Pavel 3 Adyan, Sergeĭ Ivanovich 2 Bridson, Martin R. 2 Greuel, Gert-Martin 2 Havas, George 2 Jaikin-Zapirain, Andrei 2 Lubotzky, Alexander 2 Newman, Michael Frederick 2 Pfister, Gerhard 2 Pickel, P. F. 2 Plotkin, Eugene 2 Vaserstein, Leonid N. 1 Abels, Herbert 1 Abért, Miklós 1 Baues, Oliver 1 Bessa, Vagner Rodrigues de 1 Blasius, Don 1 Borovoi, Mikhail V. 1 Boston, Nigel 1 Bruggeman, Roelof Wichert 1 Burde, Dietrich 1 Coates, John Henry 1 Faltings, Gerd 1 Félix, Yves 1 Finis, Tobias 1 Franke, Jens 1 Gaboriau, Damien 1 Garion, Shelly 1 Gushoff, Achim-Christian 1 Helling, Heinz 1 Hirsch, Ulrich 1 Huntebrinker, Wolfgang 1 Igodt, Paul 1 Iyudu, Natalia K. 1 Jones, Nathan A. 1 Kühnlein, Stefan 1 Larsen, Michael Jeffrey 1 Lysenok, Igor’ Geront’evich 1 Malestein, Justin 1 Margulis, Grigoriĭ Aleksandrovich 1 Miatello, Roberto Jorge 1 Nikolova, Daniela B. 1 Noskov, Guennadi A. 1 Pignatelli, Roberto 1 Pinto, Aline G. S. 1 Rollenske, Sönke 1 Schappacher, Norbert 1 Scharlau, Rudolf 1 Smith, Geoff C. 1 Sterling, Leon S. 1 Stuhler, Ulrich 1 Talambutsa, Alexey L. 1 Tirao, Paulo 1 Vogtmann, Karen 1 Wüstholz, Gisbert 1 Zimmert, Rainer all top 5 Serials 8 Journal of Algebra 6 Mathematische Zeitschrift 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 5 Annals of Mathematics. Second Series 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Duke Mathematical Journal 3 Manuscripta Mathematica 3 Oberwolfach Reports 3 Groups, Geometry, and Dynamics 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Algebra and Logic 2 American Journal of Mathematics 2 Journal of Differential Geometry 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 International Journal of Mathematics 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Transactions of the American Mathematical Society 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Mediterranean Journal of Mathematics 1 Pure and Applied Mathematics Quarterly 1 Aspects of Mathematics 1 Contemporary Mathematics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Springer Monographs in Mathematics all top 5 Fields 77 Group theory and generalizations (20-XX) 53 Number theory (11-XX) 17 Algebraic geometry (14-XX) 11 Topological groups, Lie groups (22-XX) 10 Manifolds and cell complexes (57-XX) 7 Nonassociative rings and algebras (17-XX) 4 General and overarching topics; collections (00-XX) 4 Associative rings and algebras (16-XX) 4 \(K\)-theory (19-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Partial differential equations (35-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 1,365 times in 956 Documents Cited by ▼ Year ▼ Groups acting on hyperbolic space. Harmonic analysis and number theory. Zbl 0888.11001Elstrodt, J.; Grunewald, F.; Mennicke, J. 130 1998 Subgroups of finite index in nilpotent groups. Zbl 0651.20040Grunewald, F. J.; Segal, D.; Smith, G. C. 80 1988 Varieties of nilpotent Lie algebras of dimension less than six. Zbl 0638.17005Grunewald, Fritz; O’Halloran, Joyce 74 1988 Analytic properties of zeta functions and subgroup growth. Zbl 1006.11051du Sautoy, Marcus; Grunewald, Fritz 52 2000 A characterization of orbit closure and applications. Zbl 0646.17002Grunewald, Fritz; O’Halloran, Joyce 41 1988 Some general algorithms. I: Arithmetic groups. Zbl 0457.20047Grunewald, Fritz; Segal, Daniel 34 1980 Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces. Zbl 0737.11013Elstrodt, J.; Grunewald, F.; Mennicke, J. 31 1990 Free non-Abelian quotients of \(SL_ 2\) over orders of imaginary quadratic numberfields. Zbl 0461.20026Grunewald, Fritz J.; Schwermer, Joachim 30 1981 The classification of surfaces with \(p_g=q=0\) isogenous to a product of curves. Zbl 1151.14027Bauer, I. C.; Catanese, F.; Grunewald, F. 30 2008 Cohomological goodness and the profinite completion of Bianchi groups. Zbl 1194.20029Grunewald, F.; Jaikin-Zapirain, A.; Zalesskii, P. A. 28 2008 Quotients of products of curves, new surfaces with \(p_{g} = 0\) and their fundamental groups. Zbl 1258.14043Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz; Pignatelli, Roberto 28 2012 Linear representations of the automorphism group of a free group. Zbl 1175.20028Grunewald, Fritz; Lubotzky, Alexander 27 2009 Arithmetic applications of the hyperbolic lattice point theorem. Zbl 0752.11018Elstrodt, J.; Grunewald, F.; Mennicke, J. 27 1988 Modules for certain Lie algebras of maximal class. Zbl 0845.17011Burde, D.; Grunewald, F. 26 1995 Grothendieck’s problems concerning profinite completions and representations of groups. Zbl 1083.20023Bridson, Martin R.; Grunewald, Fritz J. 24 2004 Beauville surfaces without real structures. Zbl 1094.14508Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz 23 2005 Chebycheff and Belyi polynomials, dessins dénfants, Beauville surfaces and group theory. Zbl 1167.14300Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz 22 2006 Deformations of Lie algebras. Zbl 0799.17007Grunewald, Fritz; O’Halloran, Joyce 22 1993 Vahlen’s group of Clifford matrices and spin-groups. Zbl 0611.20027Elstrodt, J.; Grunewald, F.; Mennicke, J. 22 1987 On some groups which cannot be finitely presented. Zbl 0385.20020Grunewald, Fritz J. 21 1978 A note on finitely generated torsion-free nilpotent groups of class 2. Zbl 0406.20031Grunewald, Fritz J.; Scharlau, Rudolf 21 1979 Some general algorithms. II: Nilpotent groups. Zbl 0457.20048Grunewald, Fritz; Segal, Daniel 19 1980 On symplectic groups over polynomial rings. Zbl 0725.20038Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 18 1991 Faithful actions of the absolute Galois group on connected components of moduli spaces. Zbl 1318.14034Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz 17 2015 Arithmetic quotients of the mapping class group. Zbl 1334.57017Grunewald, Fritz; Larsen, Michael; Lubotzky, Alexander; Malestein, Justin 17 2015 Arithmetic quotients of hyperbolic 3-space, cusp forms and link complements. Zbl 0485.57005Grunewald, Fritz J.; Schwermer, Joachim 16 1981 Identities for finite solvable groups and equations in finite simple groups. Zbl 1112.20016Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene 16 2006 Subgroups of Bianchi groups and arithmetic quotients of hyperbolic 3- space. Zbl 0773.20017Grunewald, Fritz; Schwermer, Joachim 16 1993 Zeta-functions of binary Hermitian forms and special values of Eisenstein series. Zbl 0659.10021Elstrodt, J.; Grunewald, F.; Mennicke, J. 16 1987 The cohomology of lattices in \(\text{SL}(2,\mathbb C)\). Zbl 1225.11072Finis, Tobias; Grunewald, Fritz; Tirao, Paulo 16 2010 Polycyclic groups with isomorphic finite quotients. Zbl 0431.20033Grunewald, F. J.; Pickel, P. F.; Segal, D. 15 1980 On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x])\) and \(\mathrm{SL}_ 2(k[x,y])\). Zbl 0805.20042Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 15 1994 Link complements arising from arithmetic group actions. Zbl 0840.57007Grunewald, Fritz; Hirsch, Ulrich 14 1995 Eisenstein series on three-dimensional hyperbolic space and imaginary quadratic number fields. Zbl 0555.10012Elstrodt, Jürgen; Grunewald, Fritz; Mennicke, Jens 14 1985 Genus for groups. Zbl 1222.20019Grunewald, Fritz; Zalesskii, Pavel 14 2011 Zeta functions of groups and rings. Zbl 1112.20024du Sautoy, Marcus; Grunewald, Fritz 12 2006 A description of Baer-Suzuki type of the solvable radical of a finite group. Zbl 1163.20010Gordeev, Nikolai; Grunewald, Fritz; Kunyavskii, Boris; Plotkin, Eugene 12 2009 Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure. Zbl 0706.57022Grunewald, Fritz; Margulis, Gregori 11 1988 The solubility of certain decision problems in arithmetic and algebra. Zbl 0431.20029Grunewald, Fritz J.; Segal, Daniel 11 1979 Rational points. Seminar Bonn/Wuppertal 1983/84. Zbl 0588.14027 11 1984 \(SL_ 2\) over complex quadratic number fields. I. Zbl 0483.10024Grunewald, F.; Helling, H.; Mennicke, J. 10 1979 Nilpotent groups of Hirsch length six. Zbl 0497.20026Grunewald, Fritz J.; Segal, Daniel; Sterling, Leon S. 10 1982 A nonvanishing theorem for the cuspidal cohomology of \(SL_ 2\) over imaginary quadratic integers. Zbl 0458.20041Grunewald, Fritz; Schwermer, Joachim 9 1981 On the surjectivity of Engel words on \(PSL(2,q)\). Zbl 1261.14010Bandman, Tatiana; Garion, Shelly; Grunewald, Fritz 9 2012 Baer-Suzuki theorem for the solvable radical of a finite group. Zbl 1167.20012Gordeev, Nikolai; Grunewald, Fritz; Kunyavskiĭ, Boris; Plotkin, Eugene 9 2009 From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical. Zbl 1201.20008Gordeev, Nikolai; Grunewald, Fritz; Kunyavski, Boris; Plotkin, Eugene 9 2010 Two-variable identities for finite solvable groups. Zbl 1047.20014Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene 9 2003 On affine crystallographic groups. Zbl 0822.20050Grunewald, Fritz; Segal, Dan 9 1994 Two-variable identities in groups and Lie algebras. Zbl 1069.20012Grunewald, F.; Kunyavskiĭ, B.; Nikolova, D.; Plotkin, E. 8 2000 Geometry and arithmetic of verbal dynamical systems on simple groups (with an appendix by Nathan Jones). Zbl 1276.14037Bandman, Tatiana; Grunewald, Fritz; Kunyavskii, Boris 8 2010 Analytic properties of Euler products of Igusa-type zeta functions and subgroup growth of nilpotent groups. Zbl 1062.11503du Sautoy, Marcus; Grunewald, Fritz 7 1999 How to solve a quadratic equation in integers. Zbl 0471.10012Grunewald, Fritz J.; Segal, Daniel 7 1981 On finite extensions of arithmetic groups. Zbl 0913.20034Grunewald, Fritz; Platonov, Vladimir 7 1997 A commutator description of the solvable radical of a finite group. Zbl 1161.20016Gordeev, Nikolai; Grunewald, Fritz; Kunyavskii, Boris; Plotkin, Eugene 7 2008 Conjugacy in polycyclic groups. Zbl 0403.20025Grunewald, Fritz; Segal, Daniel 7 1978 Cohomology of \(S\)-arithmetic subgroups in the number field case. Zbl 0798.11020Blasius, Don; Franke, Jens; Grunewald, Fritz 7 1994 Séries de Poincaré, sommes de Kloosterman et valeurs propres du laplacien pour les groupes de congruence agissant sur un espace hyperbolique. (Poincaré series, Kloosterman sums and eigenvalues of the Laplacian for congruence groups acting on hyperbolic spaces). Zbl 0633.10025Elstrodt, Jürgen; Grunewald, Fritz; Mennicke, Jens 7 1987 Nilpotent groups and unipotent algebraic groups. Zbl 0576.20019Grunewald, Fritz; O’Halloran, Joyce 7 1985 Decision problems concerning S-arithmetic groups. Zbl 0581.20045Grunewald, Fritz; Segal, Daniel 7 1985 Solution of the conjugacy problem in certain arithmetic groups. Zbl 0447.20031Grunewald, Fritz J. 6 1980 Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems. Zbl 1007.11029Grunewald, Fritz; Platonov, Vladimir 6 1999 Discontinuous groups on three-dimensional hyperbolic space: analytical theory and arithmetic applications. Zbl 0527.10018Elstrodt, J.; Grunewald, F.; Mennicke, J. 6 1983 On the integer solutions of quadratic equations. Zbl 1208.11048Grunewald, Fritz; Segal, Dan 6 2004 On the number of conjugates defining the solvable radical of a finite group. Zbl 1129.20014Gordeev, Nikolai; Grunewald, Fritz; Kunyavski, Boris; Plotkin, Eugene 6 2006 Zeta functions of groups: Zeros and friendly ghosts. Zbl 1020.11058du Sautoy, Marcus; Grunewald, Fritz 6 2002 Reflections on the classification of torsion-free nilpotent groups. Zbl 0563.20033Grunewald, Fritz; Segal, Dan 6 1984 On unramified \(A_ m\)-extensions of quadratic number fields. Zbl 0579.12005Elstrodt, J.; Grunewald, F.; Mennicke, J. 6 1985 On the concept of level for subgroups of \(\text{SL}_2\) over arithmetic rings. Zbl 0947.11017Grunewald, Fritz; Schwermer, Joachim 5 1999 Normal subgroups of profinite groups of non-negative deficiency. Zbl 1307.20025Grunewald, Fritz; Jaikin-Zapirain, Andrei; Pinto, Aline G. S.; Zalesskii, Pavel A. 5 2014 Engel-like characterization of radicals in finite dimensional Lie algebras and finite groups. Zbl 1174.17017Bandman, Tatiana; Borovoi, Mikhail; Grunewald, Fritz; Kunyavskii, Boris; Plotkin, Eugene 5 2006 Automorphism groups of polycyclic-by-finite groups and arithmetic groups. Zbl 1121.20027Baues, Oliver; Grunewald, Fritz 5 2006 A note on arithmetic groups. Zbl 0403.20030Grunewald, Fritz J.; Segal, Daniel 5 1978 On congruence topologies in number fields. Zbl 0409.12005Grunewald, Fritz J.; Segal, Daniel 5 1979 Some 3-manifolds arising from \(PSL_2(\mathbb{Z} [i])\). Zbl 0436.57004Mennicke, J. L.; Grunewald, F. J. 5 1980 Komplex-quadratische Zahlkörper kleiner Diskriminante und Pflasterungen des dreidimensionalen Hyperbolischen Raumes. Zbl 0488.51015Grunewald, F.; Gushoff, A.-C.; Mennicke, J. 4 1982 Characterization of solvable groups and solvable radical. Zbl 1284.20014Grunewald, Fritz; Kunyavskii, Boris; Plotkin, Eugene 4 2013 On polycyclic groups with isomorphic finite quotients. Zbl 0388.20033Grunewald, Fritz; Segal, Daniel 4 1978 Q.E.D. for algebraic varieties. Zbl 1128.14026Catanese, Fabrizio 4 2007 Groups of exponent eight. Zbl 0407.20033Grunewald, Fritz J.; Havas, George; Mennicke, J. L.; Newman, M. F. 4 1979 Remarks on injective specializations. Zbl 0435.20027Grunewald, Fritz; Segal, Daniel 4 1979 Solvable arithmetic groups and arithmeticity problems. Zbl 1039.20026Grunewald, Fritz; Platonov, Vladimir 4 1999 PSL(2) over imaginary quadratic integers. Zbl 0522.10016Elstrodt, J.; Grunewald, F.; Mennicke, J. 3 1982 On the group \(PSL_ 2({\mathbb{Z}}[i])\). Zbl 0541.10028Elstrodt, J.; Grunewald, F.; Mennicke, J. 3 1982 On the proof of Humbert’s volume formula. Zbl 0897.11013Grunewald, Fritz; Kühnlein, Stefan 3 1998 Finiteness theorems for polycyclic groups. Zbl 0408.20020Grunewald, F. J.; Pickel, P. F.; Segal, D. 3 1979 Non-arithmetic polycyclic groups. Zbl 0974.20035Grunewald, Fritz; Platonov, Vladimir 3 1998 Some remarks on discrete subgroups of \(SL_ 2({\mathbb{C}})\). Zbl 0672.10019Grunewald, F.; Elstrodt, J.; Mennicke, J. 3 1987 The Selberg zeta-function for cocompact discrete subgroups of PSL(2, \({\mathbb{C}})\). Zbl 0599.10015Elstrodt, J.; Grunewald, F.; Mennicke, J. 3 1985 Groups of exponent eight. Zbl 0456.20019Grunewald, Fritz J.; Havas, George; Mennicke, J. L.; Newman, M. F. 2 1980 Conjugacy of subgroups in arithmetic groups. Zbl 0477.20026Grunewald, Fritz J.; Segal, Daniel 2 1982 Actions of arithmetic groups on homology spheres and acyclic homology manifolds. Zbl 1307.57019Bridson, Martin R.; Grunewald, Fritz; Vogtmann, Karen 2 2014 Über einige rationale elliptische Kurven mit freiem Rang \(\geq 8\). (On some rational elliptic curves of free rank \(\geq 8\)). Zbl 0357.14011Grunewald, Fritz J.; Zimmert, Rainer 2 1977 Conjugacy in polycyclic groups. Zbl 0391.20025Grunewald, Fritz; Segal, Daniel 2 1978 New lattice point asymptotics for products of upper half-planes. Zbl 1315.11040Bruggeman, Roelof Wichert; Grunewald, Fritz; Miatello, Roberto Jorge 2 2011 Rigidity and automorphism groups of solvable arithmetic groups. Zbl 0914.20043Grunewald, Fritz; Platonov, Vladimir 2 1998 Some remarks on discrete subgroups of \(SL_ 2({\mathbb{C}})\). Zbl 0629.10020Grunewald, F.; Elstrodt, J.; Mennicke, J. 2 1987 A numerical study of eigenvalues of the hyperbolic Laplacian for polyhedra with one cusp. Zbl 0870.65092Grunewald, Fritz; Huntebrinker, Wolfgang 1 1996 On embeddings of \(\text{SL}(2,\mathbb Z)\) into quaternion groups. Zbl 1165.20320Adyan, S. I.; Grunewald, F.; Lysënok, I.; Mennicke, J. 1 2001 The Petersson scalar product. Zbl 0934.11018Elstrodt, J.; Grunewald, F. 1 1998 Eisenstein series for imaginary quadratic number fields. Zbl 0601.10017Elstrodt, Jürgen; Grunewald, Fritz; Mennicke, Jens 1 1986 Faithful actions of the absolute Galois group on connected components of moduli spaces. Zbl 1318.14034Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz 17 2015 Arithmetic quotients of the mapping class group. Zbl 1334.57017Grunewald, Fritz; Larsen, Michael; Lubotzky, Alexander; Malestein, Justin 17 2015 Normal subgroups of profinite groups of non-negative deficiency. Zbl 1307.20025Grunewald, Fritz; Jaikin-Zapirain, Andrei; Pinto, Aline G. S.; Zalesskii, Pavel A. 5 2014 Actions of arithmetic groups on homology spheres and acyclic homology manifolds. Zbl 1307.57019Bridson, Martin R.; Grunewald, Fritz; Vogtmann, Karen 2 2014 Characterization of solvable groups and solvable radical. Zbl 1284.20014Grunewald, Fritz; Kunyavskii, Boris; Plotkin, Eugene 4 2013 Quotients of products of curves, new surfaces with \(p_{g} = 0\) and their fundamental groups. Zbl 1258.14043Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz; Pignatelli, Roberto 28 2012 On the surjectivity of Engel words on \(PSL(2,q)\). Zbl 1261.14010Bandman, Tatiana; Garion, Shelly; Grunewald, Fritz 9 2012 Genus for groups. Zbl 1222.20019Grunewald, Fritz; Zalesskii, Pavel 14 2011 New lattice point asymptotics for products of upper half-planes. Zbl 1315.11040Bruggeman, Roelof Wichert; Grunewald, Fritz; Miatello, Roberto Jorge 2 2011 The cohomology of lattices in \(\text{SL}(2,\mathbb C)\). Zbl 1225.11072Finis, Tobias; Grunewald, Fritz; Tirao, Paulo 16 2010 From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical. Zbl 1201.20008Gordeev, Nikolai; Grunewald, Fritz; Kunyavski, Boris; Plotkin, Eugene 9 2010 Geometry and arithmetic of verbal dynamical systems on simple groups (with an appendix by Nathan Jones). Zbl 1276.14037Bandman, Tatiana; Grunewald, Fritz; Kunyavskii, Boris 8 2010 Linear representations of the automorphism group of a free group. Zbl 1175.20028Grunewald, Fritz; Lubotzky, Alexander 27 2009 A description of Baer-Suzuki type of the solvable radical of a finite group. Zbl 1163.20010Gordeev, Nikolai; Grunewald, Fritz; Kunyavskii, Boris; Plotkin, Eugene 12 2009 Baer-Suzuki theorem for the solvable radical of a finite group. Zbl 1167.20012Gordeev, Nikolai; Grunewald, Fritz; Kunyavskiĭ, Boris; Plotkin, Eugene 9 2009 The classification of surfaces with \(p_g=q=0\) isogenous to a product of curves. Zbl 1151.14027Bauer, I. C.; Catanese, F.; Grunewald, F. 30 2008 Cohomological goodness and the profinite completion of Bianchi groups. Zbl 1194.20029Grunewald, F.; Jaikin-Zapirain, A.; Zalesskii, P. A. 28 2008 A commutator description of the solvable radical of a finite group. Zbl 1161.20016Gordeev, Nikolai; Grunewald, Fritz; Kunyavskii, Boris; Plotkin, Eugene 7 2008 Profinite and asymptotic group theory. Abstracts from the workshop held June 22–28, 2008. Zbl 1177.20005 1 2008 Q.E.D. for algebraic varieties. Zbl 1128.14026Catanese, Fabrizio 4 2007 Chebycheff and Belyi polynomials, dessins dénfants, Beauville surfaces and group theory. Zbl 1167.14300Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz 22 2006 Identities for finite solvable groups and equations in finite simple groups. Zbl 1112.20016Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene 16 2006 Zeta functions of groups and rings. Zbl 1112.20024du Sautoy, Marcus; Grunewald, Fritz 12 2006 On the number of conjugates defining the solvable radical of a finite group. Zbl 1129.20014Gordeev, Nikolai; Grunewald, Fritz; Kunyavski, Boris; Plotkin, Eugene 6 2006 Engel-like characterization of radicals in finite dimensional Lie algebras and finite groups. Zbl 1174.17017Bandman, Tatiana; Borovoi, Mikhail; Grunewald, Fritz; Kunyavskii, Boris; Plotkin, Eugene 5 2006 Automorphism groups of polycyclic-by-finite groups and arithmetic groups. Zbl 1121.20027Baues, Oliver; Grunewald, Fritz 5 2006 Beauville surfaces without real structures. Zbl 1094.14508Bauer, Ingrid; Catanese, Fabrizio; Grunewald, Fritz 23 2005 Grothendieck’s problems concerning profinite completions and representations of groups. Zbl 1083.20023Bridson, Martin R.; Grunewald, Fritz J. 24 2004 On the integer solutions of quadratic equations. Zbl 1208.11048Grunewald, Fritz; Segal, Dan 6 2004 Two-variable identities for finite solvable groups. Zbl 1047.20014Bandman, Tatiana; Greuel, Gert-Martin; Grunewald, Fritz; Kunyavskiĭ, Boris; Pfister, Gerhard; Plotkin, Eugene 9 2003 Zeta functions of groups: Zeros and friendly ghosts. Zbl 1020.11058du Sautoy, Marcus; Grunewald, Fritz 6 2002 On embeddings of \(\text{SL}(2,\mathbb Z)\) into quaternion groups. Zbl 1165.20320Adyan, S. I.; Grunewald, F.; Lysënok, I.; Mennicke, J. 1 2001 Analytic properties of zeta functions and subgroup growth. Zbl 1006.11051du Sautoy, Marcus; Grunewald, Fritz 52 2000 Two-variable identities in groups and Lie algebras. Zbl 1069.20012Grunewald, F.; Kunyavskiĭ, B.; Nikolova, D.; Plotkin, E. 8 2000 Analytic properties of Euler products of Igusa-type zeta functions and subgroup growth of nilpotent groups. Zbl 1062.11503du Sautoy, Marcus; Grunewald, Fritz 7 1999 Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems. Zbl 1007.11029Grunewald, Fritz; Platonov, Vladimir 6 1999 On the concept of level for subgroups of \(\text{SL}_2\) over arithmetic rings. Zbl 0947.11017Grunewald, Fritz; Schwermer, Joachim 5 1999 Solvable arithmetic groups and arithmeticity problems. Zbl 1039.20026Grunewald, Fritz; Platonov, Vladimir 4 1999 Groups acting on hyperbolic space. Harmonic analysis and number theory. Zbl 0888.11001Elstrodt, J.; Grunewald, F.; Mennicke, J. 130 1998 On the proof of Humbert’s volume formula. Zbl 0897.11013Grunewald, Fritz; Kühnlein, Stefan 3 1998 Non-arithmetic polycyclic groups. Zbl 0974.20035Grunewald, Fritz; Platonov, Vladimir 3 1998 Rigidity and automorphism groups of solvable arithmetic groups. Zbl 0914.20043Grunewald, Fritz; Platonov, Vladimir 2 1998 The Petersson scalar product. Zbl 0934.11018Elstrodt, J.; Grunewald, F. 1 1998 On finite extensions of arithmetic groups. Zbl 0913.20034Grunewald, Fritz; Platonov, Vladimir 7 1997 A numerical study of eigenvalues of the hyperbolic Laplacian for polyhedra with one cusp. Zbl 0870.65092Grunewald, Fritz; Huntebrinker, Wolfgang 1 1996 Modules for certain Lie algebras of maximal class. Zbl 0845.17011Burde, D.; Grunewald, F. 26 1995 Link complements arising from arithmetic group actions. Zbl 0840.57007Grunewald, Fritz; Hirsch, Ulrich 14 1995 On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x])\) and \(\mathrm{SL}_ 2(k[x,y])\). Zbl 0805.20042Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 15 1994 On affine crystallographic groups. Zbl 0822.20050Grunewald, Fritz; Segal, Dan 9 1994 Cohomology of \(S\)-arithmetic subgroups in the number field case. Zbl 0798.11020Blasius, Don; Franke, Jens; Grunewald, Fritz 7 1994 Deformations of Lie algebras. Zbl 0799.17007Grunewald, Fritz; O’Halloran, Joyce 22 1993 Subgroups of Bianchi groups and arithmetic quotients of hyperbolic 3- space. Zbl 0773.20017Grunewald, Fritz; Schwermer, Joachim 16 1993 On symplectic groups over polynomial rings. Zbl 0725.20038Grunewald, Fritz; Mennicke, Jens; Vaserstein, Leonid 18 1991 Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces. Zbl 0737.11013Elstrodt, J.; Grunewald, F.; Mennicke, J. 31 1990 Subgroups of finite index in nilpotent groups. Zbl 0651.20040Grunewald, F. J.; Segal, D.; Smith, G. C. 80 1988 Varieties of nilpotent Lie algebras of dimension less than six. Zbl 0638.17005Grunewald, Fritz; O’Halloran, Joyce 74 1988 A characterization of orbit closure and applications. Zbl 0646.17002Grunewald, Fritz; O’Halloran, Joyce 41 1988 Arithmetic applications of the hyperbolic lattice point theorem. Zbl 0752.11018Elstrodt, J.; Grunewald, F.; Mennicke, J. 27 1988 Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure. Zbl 0706.57022Grunewald, Fritz; Margulis, Gregori 11 1988 Vahlen’s group of Clifford matrices and spin-groups. Zbl 0611.20027Elstrodt, J.; Grunewald, F.; Mennicke, J. 22 1987 Zeta-functions of binary Hermitian forms and special values of Eisenstein series. Zbl 0659.10021Elstrodt, J.; Grunewald, F.; Mennicke, J. 16 1987 Séries de Poincaré, sommes de Kloosterman et valeurs propres du laplacien pour les groupes de congruence agissant sur un espace hyperbolique. (Poincaré series, Kloosterman sums and eigenvalues of the Laplacian for congruence groups acting on hyperbolic spaces). Zbl 0633.10025Elstrodt, Jürgen; Grunewald, Fritz; Mennicke, Jens 7 1987 Some remarks on discrete subgroups of \(SL_ 2({\mathbb{C}})\). Zbl 0672.10019Grunewald, F.; Elstrodt, J.; Mennicke, J. 3 1987 Some remarks on discrete subgroups of \(SL_ 2({\mathbb{C}})\). Zbl 0629.10020Grunewald, F.; Elstrodt, J.; Mennicke, J. 2 1987 Eisenstein series for imaginary quadratic number fields. Zbl 0601.10017Elstrodt, Jürgen; Grunewald, Fritz; Mennicke, Jens 1 1986 Eisenstein series on three-dimensional hyperbolic space and imaginary quadratic number fields. Zbl 0555.10012Elstrodt, Jürgen; Grunewald, Fritz; Mennicke, Jens 14 1985 Nilpotent groups and unipotent algebraic groups. Zbl 0576.20019Grunewald, Fritz; O’Halloran, Joyce 7 1985 Decision problems concerning S-arithmetic groups. Zbl 0581.20045Grunewald, Fritz; Segal, Daniel 7 1985 On unramified \(A_ m\)-extensions of quadratic number fields. Zbl 0579.12005Elstrodt, J.; Grunewald, F.; Mennicke, J. 6 1985 The Selberg zeta-function for cocompact discrete subgroups of PSL(2, \({\mathbb{C}})\). Zbl 0599.10015Elstrodt, J.; Grunewald, F.; Mennicke, J. 3 1985 Rational points. Seminar Bonn/Wuppertal 1983/84. Zbl 0588.14027 11 1984 Reflections on the classification of torsion-free nilpotent groups. Zbl 0563.20033Grunewald, Fritz; Segal, Dan 6 1984 Discontinuous groups on three-dimensional hyperbolic space: analytical theory and arithmetic applications. Zbl 0527.10018Elstrodt, J.; Grunewald, F.; Mennicke, J. 6 1983 Nilpotent groups of Hirsch length six. Zbl 0497.20026Grunewald, Fritz J.; Segal, Daniel; Sterling, Leon S. 10 1982 Komplex-quadratische Zahlkörper kleiner Diskriminante und Pflasterungen des dreidimensionalen Hyperbolischen Raumes. Zbl 0488.51015Grunewald, F.; Gushoff, A.-C.; Mennicke, J. 4 1982 PSL(2) over imaginary quadratic integers. Zbl 0522.10016Elstrodt, J.; Grunewald, F.; Mennicke, J. 3 1982 On the group \(PSL_ 2({\mathbb{Z}}[i])\). Zbl 0541.10028Elstrodt, J.; Grunewald, F.; Mennicke, J. 3 1982 Conjugacy of subgroups in arithmetic groups. Zbl 0477.20026Grunewald, Fritz J.; Segal, Daniel 2 1982 Free non-Abelian quotients of \(SL_ 2\) over orders of imaginary quadratic numberfields. Zbl 0461.20026Grunewald, Fritz J.; Schwermer, Joachim 30 1981 Arithmetic quotients of hyperbolic 3-space, cusp forms and link complements. Zbl 0485.57005Grunewald, Fritz J.; Schwermer, Joachim 16 1981 A nonvanishing theorem for the cuspidal cohomology of \(SL_ 2\) over imaginary quadratic integers. Zbl 0458.20041Grunewald, Fritz; Schwermer, Joachim 9 1981 How to solve a quadratic equation in integers. Zbl 0471.10012Grunewald, Fritz J.; Segal, Daniel 7 1981 Some general algorithms. I: Arithmetic groups. Zbl 0457.20047Grunewald, Fritz; Segal, Daniel 34 1980 Some general algorithms. II: Nilpotent groups. Zbl 0457.20048Grunewald, Fritz; Segal, Daniel 19 1980 Polycyclic groups with isomorphic finite quotients. Zbl 0431.20033Grunewald, F. J.; Pickel, P. F.; Segal, D. 15 1980 Solution of the conjugacy problem in certain arithmetic groups. Zbl 0447.20031Grunewald, Fritz J. 6 1980 Some 3-manifolds arising from \(PSL_2(\mathbb{Z} [i])\). Zbl 0436.57004Mennicke, J. L.; Grunewald, F. J. 5 1980 Groups of exponent eight. Zbl 0456.20019Grunewald, Fritz J.; Havas, George; Mennicke, J. L.; Newman, M. F. 2 1980 A note on finitely generated torsion-free nilpotent groups of class 2. Zbl 0406.20031Grunewald, Fritz J.; Scharlau, Rudolf 21 1979 The solubility of certain decision problems in arithmetic and algebra. Zbl 0431.20029Grunewald, Fritz J.; Segal, Daniel 11 1979 \(SL_ 2\) over complex quadratic number fields. I. Zbl 0483.10024Grunewald, F.; Helling, H.; Mennicke, J. 10 1979 On congruence topologies in number fields. Zbl 0409.12005Grunewald, Fritz J.; Segal, Daniel 5 1979 Groups of exponent eight. Zbl 0407.20033Grunewald, Fritz J.; Havas, George; Mennicke, J. L.; Newman, M. F. 4 1979 Remarks on injective specializations. Zbl 0435.20027Grunewald, Fritz; Segal, Daniel 4 1979 Finiteness theorems for polycyclic groups. Zbl 0408.20020Grunewald, F. J.; Pickel, P. F.; Segal, D. 3 1979 On some groups which cannot be finitely presented. Zbl 0385.20020Grunewald, Fritz J. 21 1978 Conjugacy in polycyclic groups. Zbl 0403.20025Grunewald, Fritz; Segal, Daniel 7 1978 A note on arithmetic groups. Zbl 0403.20030Grunewald, Fritz J.; Segal, Daniel 5 1978 On polycyclic groups with isomorphic finite quotients. Zbl 0388.20033Grunewald, Fritz; Segal, Daniel 4 1978 Conjugacy in polycyclic groups. Zbl 0391.20025Grunewald, Fritz; Segal, Daniel 2 1978 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 950 Authors 40 Grunewald, Fritz J. 29 Kaygorodov, Ivan 18 Zalesskii, Pavel 15 Kunyavskiĭ, Boris Èmmanuilovich 15 Lubotzky, Alexander 15 Voll, Christopher 14 Mason, Alexander W. 13 Dekimpe, Karel 13 Kraußhar, Rolf Sören 13 Reid, Alan W. 12 Burde, Dietrich 11 Bridson, Martin R. 11 Rahm, Alexander Daniel 11 Segal, Daniel 10 Bauer, Ingrid C. 10 Khudoyberdiyev, Abror Kh. 9 Gordeev, Nikolai L. 9 Omirov, Bakhrom A. 9 Pignatelli, Roberto 8 Alvarez, María Alejandra 8 Catanese, Fabrizio M. E. 8 du Sautoy, Marcus P. F. 8 González-Diez, Gabino 8 Rossmann, Tobias 7 Jaikin-Zapirain, Andrei 7 Penegini, Matteo 7 Şengün, Mehmet Haluk 7 Shalev, Aner 7 Spaggiari, Fulvia 7 Tirao, Paulo 7 Volkov, Yuriĭ S. 6 Baker, Mark D. 6 Bandman, Tatiana M. 6 Bou-Rabee, Khalid 6 Camacho, Luisa Maria 6 Cavicchioli, Alberto 6 del Río, Angel 6 Friedman, Joshua S. 6 Jespers, Eric 6 Jorgenson, Jay Alan 6 Mennicke, Jens L. 6 Sarnak, Peter Clive 6 Schlage-Puchta, Jan-Christoph 6 Wilton, Henry John Rutley 5 Avni, Nir 5 Cagliero, Leandro 5 Dahmani, François 5 Frapporti, Davide 5 Garion, Shelly 5 Guest, Simon D. 5 Khrypchenko, Mykola S. 5 Klopsch, Benjamin 5 Krieg, Aloys 5 Margulis, Grigoriĭ Aleksandrovich 5 Mizuno, Yoshinori 5 Platonov, Vladimir Petrovich 5 Plotkin, Eugene 5 Popov, Yury 5 Schwermer, Joachim 5 Vavilov, Nikolaĭ Aleksandrovich 5 Vdovina, Alina A. 4 Adashev, Jobir Q. 4 Berkove, Ethan J. 4 Calderón Martín, Antonio Jesús 4 Constales, Denis 4 de Graaf, Willem Adriaan 4 Elstrodt, Jürgen 4 Fairbairn, Ben Thomas 4 Fernández Ouaridi, Amir 4 Fuchs, Elena D. 4 Guirardel, Vincent 4 Gül, Şükran 4 Gunnells, Paul E. 4 Guralnick, Robert Michael 4 Herrera-Granada, Joan Felipe 4 Igodt, Paul 4 Ivarsson, Björn 4 Kassabov, Martin 4 Kiefer, Ann 4 Kutzschebauch, Frank 4 Laaksonen, Niko 4 Ladra González, Manuel 4 Larsen, Michael Jeffrey 4 Lee, Kyoung-Seog 4 Leininger, Christopher J. 4 Matthes, Roland 4 Meiri, Chen 4 Myasnikov, Alexei G. 4 Navarro, Rosa María 4 Oger, Francis 4 Parkkonen, Jouni 4 Paulin, Frédéric 4 Petrogradsky, Victor Mikhaylovich 4 Popovych, Roman O. 4 Rapinchuk, Andrei S. 4 Revin, Danila Olegovitch 4 Schein, Michael M. 4 Sulca, Diego 4 Telloni, Agnese Ilaria 4 Voight, John Michael ...and 850 more Authors all top 5 Cited in 203 Serials 64 Journal of Algebra 45 Transactions of the American Mathematical Society 32 Communications in Algebra 30 Journal of Pure and Applied Algebra 29 Journal of Number Theory 27 Mathematische Zeitschrift 26 Israel Journal of Mathematics 21 Proceedings of the American Mathematical Society 20 Inventiones Mathematicae 17 Mathematische Annalen 17 Groups, Geometry, and Dynamics 16 Duke Mathematical Journal 16 Linear Algebra and its Applications 15 Advances in Mathematics 13 Geometriae Dedicata 13 Monatshefte für Mathematik 13 Journal of Group Theory 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Journal of Mathematical Sciences (New York) 12 Comptes Rendus. 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RACSAM 2 Communications in Mathematical Physics 2 Mathematical Notes 2 Periodica Mathematica Hungarica 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Collectanea Mathematica 2 Glasgow Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Tokyo Journal of Mathematics 2 Ergodic Theory and Dynamical Systems 2 Zeitschrift für Analysis und ihre Anwendungen 2 \(K\)-Theory 2 Revista Matemática Iberoamericana 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Journal of Geometric Analysis 2 L’Enseignement Mathématique. 2e Série ...and 103 more Serials all top 5 Cited in 48 Fields 448 Group theory and generalizations (20-XX) 356 Number theory (11-XX) 162 Algebraic geometry (14-XX) 141 Nonassociative rings and algebras (17-XX) 109 Manifolds and cell complexes (57-XX) 100 Topological groups, Lie groups (22-XX) 59 Functions of a complex variable (30-XX) 40 Differential geometry (53-XX) 37 Associative rings and algebras (16-XX) 33 Global analysis, analysis on manifolds (58-XX) 31 Dynamical systems and ergodic theory (37-XX) 26 Combinatorics (05-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Several complex variables and analytic spaces (32-XX) 21 \(K\)-theory (19-XX) 20 Mathematical logic and foundations (03-XX) 18 Computer science (68-XX) 16 Convex and discrete geometry (52-XX) 15 Geometry (51-XX) 14 Algebraic topology (55-XX) 12 Quantum theory (81-XX) 10 Commutative algebra (13-XX) 9 Partial differential equations (35-XX) 8 Category theory; homological algebra (18-XX) 7 Field theory and polynomials (12-XX) 6 Abstract harmonic analysis (43-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General algebraic systems (08-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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