Edit Profile (opens in new tab) Abels, Herbert Co-Author Distance Author ID: abels.herbert Published as: Abels, Herbert; Abels, H. External Links: MGP Documents Indexed: 59 Publications since 1966, including 2 Books 1 Contribution as Editor Reviewing Activity: 124 Reviews Co-Authors: 17 Co-Authors with 26 Joint Publications 488 Co-Co-Authors all top 5 Co-Authors 34 single-authored 6 Margulis, Grigoriĭ Aleksandrovich 5 Soifer, Grigoriĭ Aleksandrovich 4 Manoussos, Antonios 3 Vinberg, Èrnest Borisovich 2 Alperin, Roger Charles 2 Holz, Stephan 2 Noskov, Guennadi A. 1 Abramenko, Peter 1 Brown, Kenneth Stephen 1 Dress, Andreas W. M. 1 Félix, Yves 1 Grunewald, Fritz J. 1 Igodt, Paul 1 Lauer, Annette 1 Lütkepohl, Helmut 1 Strantzalos, Polychronis 1 Tiemeyer, Andreas all top 5 Serials 6 Mathematische Zeitschrift 5 Journal of Lie Theory 4 Israel Journal of Mathematics 4 Journal of Algebra 4 Transformation Groups 2 Advances in Mathematics 2 Geometriae Dedicata 2 Journal of Differential Geometry 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Order 1 Discrete Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Journal of Pure and Applied Algebra 1 Transactions of the American Mathematical Society 1 Bulletin of the Greek Mathematical Society 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I 1 The New York Journal of Mathematics 1 Pure and Applied Mathematics Quarterly 1 Contemporary Mathematics 1 Lecture Notes in Mathematics all top 5 Fields 29 Topological groups, Lie groups (22-XX) 23 Group theory and generalizations (20-XX) 14 General topology (54-XX) 14 Manifolds and cell complexes (57-XX) 5 Algebraic topology (55-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Nonassociative rings and algebras (17-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 425 times in 309 Documents Cited by ▼ Year ▼ Parallelizability of proper actions, global K-slices and maximal compact subgroups. Zbl 0276.57019Abels, Herbert 45 1974 A universal proper G-space. Zbl 0388.54027Abels, Herbert 36 1978 Semigroups containing proximal linear maps. Zbl 0845.22004Abels, Herbert; Margulis, G. A.; Soifer, G. A. 31 1995 Properly discontinuous groups of affine transformations: a survey. Zbl 0999.20042Abels, Herbert 26 2001 Finite presentability of S-arithmetic groups. Compact presentability of solvable groups. Zbl 0621.20015Abels, Herbert 25 1987 Specker–Kompaktifizierungen von lokal kompakten topologischen Gruppen. Zbl 0275.22011Abels, Herbert 19 1974 On the Zariski closure of the linear part of a properly discontinuous group of affine transformations. Zbl 1061.22012Abels, H.; Margulis, G. A.; Soifer, G. A. 16 2002 Topological generators of Abelian Lie groups and hypercyclic finitely generated Abelian semigroups of matrices. Zbl 1236.47034Abels, Herbert; Manoussos, Antonios 14 2012 Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020Abels, Herbert; Brown, Kenneth S. 13 1987 The geometry of the chamber system of a semimodular lattice. Zbl 0738.06010Abels, Herbert 12 1991 Properly discontinuous groups of affine transformations with orthogonal linear part. Zbl 0933.22015Abels, Herbert; Margulis, Grigori A.; Soifer, Grigori A. 12 1997 Proper actions and proper invariant metrics. Zbl 1235.54017Abels, H.; Manoussos, A.; Noskov, G. 12 2011 Finiteness properties of certain arithmetic groups in the function field case. Zbl 0819.20051Abels, Herbert 11 1991 An example of a finitely presented solvable group. Zbl 0422.20026Abels, Herbert 11 1979 Kompakt definierbare topologische Gruppen. (Compactly definable topological groups). Zbl 0225.22005Abels, Herbert 10 1972 Enden von Räumen mit eigentlichen Transformationsgruppen. Zbl 0253.54039Abels, Herbert 10 1972 The gallery distance of flags. Zbl 0738.06009Abels, Herbert 9 1991 Über die Erzeugung von eigentlichen Transformationsgruppen. Zbl 0315.54046Abels, Herbert 8 1968 Distal affine transformation groups. Zbl 0367.20047Abels, Herbert 8 1978 Coarsely geodesic metrics on reductive groups. Zbl 1151.22008Abels, Herbert; Margulis, Gregory 8 2004 Higher generation by subgroups. Zbl 0811.20036Abels, Herbert; Holz, Stephan 8 1993 The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant. Zbl 1228.22012Abels, H.; Margulis, G. A.; Soifer, G. A. 8 2011 Distal automorphism groups of Lie groups. Zbl 0463.22006Abels, Herbert 6 1981 On the homotopy type of subcomplexes of Tits buildings. Zbl 0789.51013Abels, Herbert; Abramenko, Peter 6 1993 Higher generation by subgroups. Zbl 0799.20027Abels, Herbert; Holz, Stephan 6 1993 Compactness properties of locally compact groups. Zbl 0905.22005Abels, Herbert; Tiemeyer, A. 6 1997 Über eigentliche Transformationsgruppen. Zbl 0182.36004Abels, Herbert 6 1969 The Auslander conjecture for groups leaving a form of signature \((n-2,2)\) invariant. Zbl 1091.20032Abels, H.; Margulis, G. A.; Soifer, G. A. 5 2005 Normen auf freien topologischen Gruppen. (Normes on free topological groups.). Zbl 0232.22005Abels, Herbert 5 1972 Generating semisimple groups by tori. Zbl 1220.22005Abels, Herbert; Vinberg, E. B. 5 2011 On a problem of Freudenthal’s. Zbl 0352.22003Abels, Herbert 3 1977 Proximal linear maps. Zbl 1165.22010Abels, Herbert 3 2008 Reductive groups as metric spaces. Zbl 1099.20021Abels, Herbert 3 2004 Linear semigroups with coarsely dense orbits. Zbl 1298.47053Abels, H.; Manoussos, A. 2 2014 A characterization of the sphere and Euclidean space by transformation groups. Zbl 0315.57029Abels, Herbert; Lauer, Annette 2 1976 Subsemigroups of semisimple Lie groups. Zbl 1320.22003Abels, Herbert 2 2015 Discrete groups of affine isometries. Zbl 1010.22019Abels, Herbert 2 1999 Slices for proper actions of non-compact Lie groups. Zbl 0417.57022Abels, Herbert; Lütkepohl, Helmut 1 1977 Invariant subspaces of affine groups - An algebraic version of a theorem of Bieberbach. Zbl 0592.51018Abels, Herbert; Dress, Andreas W. M. 1 1986 Some topological aspects of proper group actions; non-compact dimension of groups. Zbl 0458.54029Abels, Herbert 1 1982 Homogeneous factors of Riemannian manifolds. Zbl 0468.53038Abels, Herbert; Strantzalos, Polychronis 1 1981 Which groups act distally? Zbl 0523.54027Abels, Herbert 1 1983 Generators and relations for groups of homeomorphisms. Zbl 0344.57014Abels, Herbert 1 1977 On a theorem of Auslander. Zbl 1322.22008Abels, Herbert 1 2015 Subsemigroups of nilpotent Lie groups. Zbl 1441.22011Abels, Herbert; Vinberg, Ernest B. 1 2020 A projection property for buildings. Zbl 0952.18001Abels, Herbert 1 1998 Geometrische Erzeugung von diskontinuierlichen Gruppen. Zbl 0147.21604Abels, Herbert 1 1966 A group of isometries with non-closed orbits. Zbl 1253.37011Abels, H.; Manoussos, A. 1 2012 Subsemigroups of nilpotent Lie groups. Zbl 1441.22011Abels, Herbert; Vinberg, Ernest B. 1 2020 Subsemigroups of semisimple Lie groups. Zbl 1320.22003Abels, Herbert 2 2015 On a theorem of Auslander. Zbl 1322.22008Abels, Herbert 1 2015 Linear semigroups with coarsely dense orbits. Zbl 1298.47053Abels, H.; Manoussos, A. 2 2014 Topological generators of Abelian Lie groups and hypercyclic finitely generated Abelian semigroups of matrices. Zbl 1236.47034Abels, Herbert; Manoussos, Antonios 14 2012 A group of isometries with non-closed orbits. Zbl 1253.37011Abels, H.; Manoussos, A. 1 2012 Proper actions and proper invariant metrics. Zbl 1235.54017Abels, H.; Manoussos, A.; Noskov, G. 12 2011 The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant. Zbl 1228.22012Abels, H.; Margulis, G. A.; Soifer, G. A. 8 2011 Generating semisimple groups by tori. Zbl 1220.22005Abels, Herbert; Vinberg, E. B. 5 2011 Proximal linear maps. Zbl 1165.22010Abels, Herbert 3 2008 The Auslander conjecture for groups leaving a form of signature \((n-2,2)\) invariant. Zbl 1091.20032Abels, H.; Margulis, G. A.; Soifer, G. A. 5 2005 Coarsely geodesic metrics on reductive groups. Zbl 1151.22008Abels, Herbert; Margulis, Gregory 8 2004 Reductive groups as metric spaces. Zbl 1099.20021Abels, Herbert 3 2004 On the Zariski closure of the linear part of a properly discontinuous group of affine transformations. Zbl 1061.22012Abels, H.; Margulis, G. A.; Soifer, G. A. 16 2002 Properly discontinuous groups of affine transformations: a survey. Zbl 0999.20042Abels, Herbert 26 2001 Discrete groups of affine isometries. Zbl 1010.22019Abels, Herbert 2 1999 A projection property for buildings. Zbl 0952.18001Abels, Herbert 1 1998 Properly discontinuous groups of affine transformations with orthogonal linear part. Zbl 0933.22015Abels, Herbert; Margulis, Grigori A.; Soifer, Grigori A. 12 1997 Compactness properties of locally compact groups. Zbl 0905.22005Abels, Herbert; Tiemeyer, A. 6 1997 Semigroups containing proximal linear maps. Zbl 0845.22004Abels, Herbert; Margulis, G. A.; Soifer, G. A. 31 1995 Higher generation by subgroups. Zbl 0811.20036Abels, Herbert; Holz, Stephan 8 1993 On the homotopy type of subcomplexes of Tits buildings. Zbl 0789.51013Abels, Herbert; Abramenko, Peter 6 1993 Higher generation by subgroups. Zbl 0799.20027Abels, Herbert; Holz, Stephan 6 1993 The geometry of the chamber system of a semimodular lattice. Zbl 0738.06010Abels, Herbert 12 1991 Finiteness properties of certain arithmetic groups in the function field case. Zbl 0819.20051Abels, Herbert 11 1991 The gallery distance of flags. Zbl 0738.06009Abels, Herbert 9 1991 Finite presentability of S-arithmetic groups. Compact presentability of solvable groups. Zbl 0621.20015Abels, Herbert 25 1987 Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020Abels, Herbert; Brown, Kenneth S. 13 1987 Invariant subspaces of affine groups - An algebraic version of a theorem of Bieberbach. Zbl 0592.51018Abels, Herbert; Dress, Andreas W. M. 1 1986 Which groups act distally? Zbl 0523.54027Abels, Herbert 1 1983 Some topological aspects of proper group actions; non-compact dimension of groups. Zbl 0458.54029Abels, Herbert 1 1982 Distal automorphism groups of Lie groups. Zbl 0463.22006Abels, Herbert 6 1981 Homogeneous factors of Riemannian manifolds. Zbl 0468.53038Abels, Herbert; Strantzalos, Polychronis 1 1981 An example of a finitely presented solvable group. Zbl 0422.20026Abels, Herbert 11 1979 A universal proper G-space. Zbl 0388.54027Abels, Herbert 36 1978 Distal affine transformation groups. Zbl 0367.20047Abels, Herbert 8 1978 On a problem of Freudenthal’s. Zbl 0352.22003Abels, Herbert 3 1977 Slices for proper actions of non-compact Lie groups. Zbl 0417.57022Abels, Herbert; Lütkepohl, Helmut 1 1977 Generators and relations for groups of homeomorphisms. Zbl 0344.57014Abels, Herbert 1 1977 A characterization of the sphere and Euclidean space by transformation groups. Zbl 0315.57029Abels, Herbert; Lauer, Annette 2 1976 Parallelizability of proper actions, global K-slices and maximal compact subgroups. Zbl 0276.57019Abels, Herbert 45 1974 Specker–Kompaktifizierungen von lokal kompakten topologischen Gruppen. Zbl 0275.22011Abels, Herbert 19 1974 Kompakt definierbare topologische Gruppen. (Compactly definable topological groups). Zbl 0225.22005Abels, Herbert 10 1972 Enden von Räumen mit eigentlichen Transformationsgruppen. Zbl 0253.54039Abels, Herbert 10 1972 Normen auf freien topologischen Gruppen. (Normes on free topological groups.). Zbl 0232.22005Abels, Herbert 5 1972 Über eigentliche Transformationsgruppen. Zbl 0182.36004Abels, Herbert 6 1969 Über die Erzeugung von eigentlichen Transformationsgruppen. Zbl 0315.54046Abels, Herbert 8 1968 Geometrische Erzeugung von diskontinuierlichen Gruppen. Zbl 0147.21604Abels, Herbert 1 1966 all cited Publications top 5 cited Publications all top 5 Cited by 286 Authors 22 Abels, Herbert 21 Antonyan, Sergey A. 9 Antonyan, Natella 8 Bux, Kai-Uwe 8 de Cornulier, Yves 8 Hochs, Peter 8 Soifer, Grigoriĭ Aleksandrovich 7 Goldman, William M. 7 Marzougui, Habib 7 Mathai, Varghese 6 Czédli, Gábor 6 Margulis, Grigoriĭ Aleksandrovich 6 Witzel, Stefan 5 Lück, Wolfgang 5 Meyer, Ralf 5 Smilga, Ilia 5 Tessera, Romain 4 Breuillard, Emmanuel 4 Charette, Virginie 4 Emerson, Heath 4 Guo, Hao 4 Köhl, Ralf 4 Manoussos, Antonios 4 Möller, Rögnvaldur G. 4 Shah, Riddhi 4 Strantzalos, Polychronis 4 Willis, George A. 4 Wortman, Kevin A. 4 Zaremsky, Matthew Curtis Burkholder 3 Ageev, Sergei M. 3 Ayadi, Adlene 3 Benoist, Yves 3 Caprace, Pierre-Emmanuel 3 Castellano, Ilaria 3 Danciger, Jeffrey 3 Drumm, Todd A. 3 Gelander, Tsachik 3 Guilbault, Craig R. 3 Herzi, Salah 3 Kassel, Fanny 3 Kochloukova, Dessislava Hristova 3 Moran, Molly A. 3 Sert, Cagri 3 Song, Yanli 3 Varjú, Péter Pál 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Árnadóttir, Arnbjörg Soffía 2 Ballas, Samuel A. 2 Berestovskiĭ, Valeriĭ Nikolaevich 2 Bieri, Robert 2 Borovik, Alexandre V. 2 Brück, Benjamin 2 Burde, Dietrich 2 de la Harpe, Pierre 2 Degrijse, Dieter 2 Dekimpe, Karel 2 Echterhoff, Siegfried 2 Fisher, David Michael 2 Fujiwara, Koji 2 Gel’fand, Israil’ Moiseevich 2 Ghosh, Sourav 2 Gorbatsevich, Vladimir Vital’evich 2 Guéritaud, François 2 Guivarc’h, Yves 2 Heinzner, Peter 2 Herscovici, David Samuel 2 Hirai, Hiroshi 2 Juárez-Anguiano, Hugo 2 Khan, Qayum 2 Labourie, François 2 Lederle, Waltraud 2 Long, Darren D. 2 Lyul’ko, A. N. 2 Martínez-Pedroza, Eduardo 2 Mozes, Shahar 2 Nest, Ryszard 2 Noskov, Guennadi A. 2 Oler, Norman 2 Petrosyan, Nansen 2 Piazza, Paolo 2 Posthuma, Hessel Bouke 2 Prástaro, Agostino 2 Raja, Chandiraraj Robinson Edward 2 Repovš, Dušan D. 2 Rodríguez-Medina, Leonardo 2 Thompson, Harold Bevan 2 Tiemeyer, Andreas 2 Tomkowicz, Grzegorz 2 Wang, Hang 2 Welsch, Cora B. A. 2 Zhang, Lili 2 Zhang, Tengren 1 Abramenko, Peter 1 Adams, Henry 1 Adaricheva, Kira Vladislavovna 1 Adili, Samir 1 Alperin, Roger Charles 1 Anantharaman-Delaroche, Claire 1 Anashin, Vladimir Sergeevich 1 Arora, Shivam ...and 186 more Authors all top 5 Cited in 112 Serials 29 Topology and its Applications 14 Journal of Algebra 12 Transactions of the American Mathematical Society 10 Transformation Groups 9 Mathematische Zeitschrift 8 Advances in Mathematics 8 Geometriae Dedicata 7 Israel Journal of Mathematics 7 Inventiones Mathematicae 7 Journal of Pure and Applied Algebra 6 Annales de l’Institut Fourier 6 Mathematische Annalen 6 Algebraic & Geometric Topology 6 Groups, Geometry, and Dynamics 5 Proceedings of the American Mathematical Society 5 Geometric and Functional Analysis. GAFA 5 Geometry & Topology 5 Annals of \(K\)-Theory 4 Communications in Algebra 4 Algebra Universalis 4 Journal of the London Mathematical Society. Second Series 4 Order 3 Communications in Mathematical Physics 3 Discrete Mathematics 3 Mathematical Notes 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Soviet Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Expositiones Mathematicae 3 Journal of the Australian Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Fundamenta Mathematicae 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Journal of Functional Analysis 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Ergodic Theory and Dynamical Systems 2 Mathematical and Computer Modelling 2 International Journal of Algebra and Computation 2 Journal of Algebraic Combinatorics 2 Journal of Mathematical Sciences (New York) 2 Journal of Lie Theory 2 Journal of Group Theory 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Advances in Geometry 2 Journal of Noncommutative Geometry 2 Journal of Modern Dynamics 2 Journal of Topology and Analysis 2 Forum of Mathematics, Sigma 1 Bulletin of the Australian Mathematical Society 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Semigroup Forum 1 Transactions of the Moscow Mathematical Society 1 European Journal of Combinatorics 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 L’Enseignement Mathématique. 2e Série 1 Journal of Knot Theory and its Ramifications 1 Applied Categorical Structures 1 St. Petersburg Mathematical Journal 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 Communications of the Korean Mathematical Society 1 Revista de Matemática: Teoría y Aplicaciones 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proceedings of the Steklov Institute of Mathematics ...and 12 more Serials all top 5 Cited in 40 Fields 135 Group theory and generalizations (20-XX) 128 Topological groups, Lie groups (22-XX) 73 Manifolds and cell complexes (57-XX) 48 General topology (54-XX) 30 Differential geometry (53-XX) 29 Dynamical systems and ergodic theory (37-XX) 26 Algebraic topology (55-XX) 25 \(K\)-theory (19-XX) 20 Combinatorics (05-XX) 19 Functional analysis (46-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Geometry (51-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 Nonassociative rings and algebras (17-XX) 12 Operator theory (47-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Number theory (11-XX) 8 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Abstract harmonic analysis (43-XX) 7 Probability theory and stochastic processes (60-XX) 6 Measure and integration (28-XX) 5 Category theory; homological algebra (18-XX) 5 Functions of a complex variable (30-XX) 4 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Convex and discrete geometry (52-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year