Edit Profile Bak, Anthony Compute Distance To: Compute Author ID: bak.anthony Published as: Bak, A.; Bak, Anthony Homepage: https://www.math.uni-bielefeld.de/~bak/ External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · GND Documents Indexed: 55 Publications since 1969, including 7 Books all top 5 Co-Authors 18 single-authored 7 Morimoto, Masaharu 4 Muranov, Yuriĭ Vladimirovich 4 Vavilov, Nikolaĭ Aleksandrovich 3 Rehmann, Ulf 3 van Oystaeyen, Freddy 3 Verschoren, Alain H. M. J. 2 Brown, Ronald 2 Minian, Elias Gabriel 2 Porter, Timothy 2 Stepanov, Alexeĭ Vladimirovich 2 Tang, Guoping 2 Weibel, Charles A. 1 Basu, Rabeya 1 Donadze, Guram 1 Garge, Anuradha S. 1 Guoping, Tang 1 Hazrat, Roozbeh 1 Inassaridze, Nikoloz 1 Kolster, Manfred 1 Ladra González, Manuel 1 Petrov, Viktor 1 Preusser, Raimund 1 Rao, Ravi A. 1 Rosenberg, Jonathan Micah 1 Scharlau, Winfried 1 Ushitaki, Fumihiro all top 5 Serials 6 Journal of Pure and Applied Algebra 4 \(K\)-Theory 2 Topology 2 Forum Mathematicum 2 Sbornik: Mathematics 2 General Topology and its Applications 2 Journal of Homotopy and Related Structures 2 Journal of \(K\)-Theory 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 American Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Bulletin of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Forum of Mathematics, Sigma all top 5 Fields 21 Category theory; homological algebra (18-XX) 20 Manifolds and cell complexes (57-XX) 18 \(K\)-theory (19-XX) 15 Group theory and generalizations (20-XX) 11 Associative rings and algebras (16-XX) 8 Number theory (11-XX) 5 General and overarching topics; collections (00-XX) 5 Commutative algebra (13-XX) 5 Algebraic geometry (14-XX) 4 Algebraic topology (55-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 44 Publications have been cited 580 times in 278 Documents Cited by ▼ Year ▼ K-theory of forms. Zbl 0465.10013Bak, Anthony 69 1981 Structure of hyperbolic unitary groups. I: Elementary subgroups. Zbl 0963.20024Bak, Anthony; Vavilov, Nikolai 59 2000 Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability. Zbl 0741.19001Bak, Anthony 55 1991 On modules with quadratic forms. Zbl 0192.37202Bak, A. 44 1969 Normality for elementary subgroup functors. Zbl 0857.20028Bak, Anthony; Vavilov, Nikolai 34 1995 Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian. Zbl 1167.19002Bak, A.; Hazrat, R.; Vavilov, N. 31 2009 Stability for quadratic \(K_1\). Zbl 1048.19001Bak, Anthony; Petrov, Viktor; Guoping, Tang 21 2003 Stability for Hermitian \(K_1\). Zbl 0961.19002Bak, Anthony; Tang, Guoping 21 2000 Local-global principle for transvection groups. Zbl 1187.19001Bak, A.; Basu, Rabeya; Rao, Ravi A. 19 2010 Grothendieck and Witt groups of orders and finite groups. Zbl 0288.16016Bak, Anthony; Scharlau, Winfried 18 1974 The congruence subgroup and metaplectic problems for \(SL_{n>1}\) of division algebras. Zbl 0495.20022Bak, Anthony; Rehmann, Ulf 13 1982 Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001Bak, Anthony; Stepanov, Alexei 12 2001 Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups. Zbl 1068.16032Bak, Anthony; Tang, Guoping 11 2004 The computation of surgery groups of finite groups with abelian 2- hyperelementary subgroups. Zbl 0346.57012Bak, Anthony 11 1976 Odd dimension surgery groups of odd torsion groups vanish. Zbl 0322.57021Bak, Anthony 11 1975 Subgroups of the general linear group normalized by relative elementary groups. Zbl 0536.20030Bak, Anthony 10 1982 Equivariant surgery with middle dimensional singular sets. I. Zbl 0860.57028Bak, Anthony; Morimoto, Masaharu 8 1996 \(K\)-theoretic groups with positioning map and equivariant surgery. Zbl 0822.57025Bak, Anthony; Morimoto, Masaharu 8 1994 Equivariant surgery and applications. Zbl 1039.57502Bak, Anthony; Morimoto, Masaharu 8 1992 \(K_ 2\)-analogs of Hasse’s norm theorems. Zbl 0539.12007Bak, Anthony; Rehmann, Ulf 8 1984 The involution on Whitehead torsion. Zbl 0367.18011Bak, Anthony 8 1977 Homology of multiplicative Lie rings. Zbl 1138.18007Bak, A.; Donadze, G.; Inassaridze, N.; Ladra, M. 7 2007 The dimension of spheres with smooth one fixed point actions. Zbl 1101.57018Bak, Anthony; Morimoto, Masaharu 7 2005 Splitting along submanifolds and \(\mathbb L\)-spectra. Zbl 1078.57030Bak, A.; Muranov, Yu. V. 7 2004 The computation of odd dimensional projective surgery groups of finite groups. Zbl 0465.57016Bak, Anthony; Kolster, Manfred 7 1981 The computation of even dimension surgery groups of odd torsion groups. Zbl 0447.57022Bak, Anthony 7 1978 The computation of surgery groups of odd torsion groups. Zbl 0336.18012Bak, Anthony 7 1974 Global actions, groupoid atlases and applications. Zbl 1129.55009Bak, A.; Brown, R.; Minian, G.; Porter, T. 6 2006 Le problème des sous-groupes de congruence et le problème metaplectique pour les groupes classiques de rang \(>1\). Zbl 0461.20031Bak, Anthony 6 1981 Induction for finite groups revisited. Zbl 0844.19001Bak, Anthony 5 1995 Arf’s theorem for trace Noetherian and other rings. Zbl 0394.16010Bak, Anthony 5 1979 The E-normal structure of odd dimensional unitary groups. Zbl 06865866Bak, Anthony; Preusser, Raimund 4 2018 Splitting a simple homotopy equivalence along a submanifold with filtration. Zbl 1166.57019Bak, A.; Muranov, Yu V. 4 2008 Le problème des sous-groupes de congruence dans \(SL_{n\geq 2}\) sur un corps gauche. Zbl 0423.20045Bak, Anthony; Rehmann, Ulf 4 1979 Grothendieck groups of modules and forms over commutative orders. Zbl 0369.16022Bak, Anthony 4 1977 Definitions and problems in surgery and related groups. Zbl 0359.57018Bak, Anthony 4 1977 Equivariant intersection theory and surgery theory for manifolds with middle dimensional singular sets. Zbl 1156.57028Bak, Anthony; Morimoto, Masaharu 3 2008 Normal invariants of manifold pairs and assembly maps. Zbl 1148.57042Bak, A.; Muranov, Yu. V. 3 2006 Presenting powers of augmentation ideals and Pfister forms. Zbl 0985.11016Bak, Anthony; Vavilov, Nikolai 3 2000 Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064Bak, A.; Stepanov, A. 2 2017 Topological methods in algebra. Zbl 0914.18010Bak, A. 2 1998 Global actions: The algebraic counterpart of a topological space. Zbl 0928.18005Bak, A. 2 1997 Surgery on a pair of transversal manifolds. Zbl 1257.57034Bak, A.; Muranov, Y. V. 1 2012 Algebraic K-theory, number theory, geometry and analysis. Proceedings of the International Conference held at Bielefeld, Federal Republic of Germany, July 26-30, 1982. Zbl 0518.00003Bak, A. (ed.) 1 1984 The E-normal structure of odd dimensional unitary groups. Zbl 06865866Bak, Anthony; Preusser, Raimund 4 2018 Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064Bak, A.; Stepanov, A. 2 2017 Surgery on a pair of transversal manifolds. Zbl 1257.57034Bak, A.; Muranov, Y. V. 1 2012 Local-global principle for transvection groups. Zbl 1187.19001Bak, A.; Basu, Rabeya; Rao, Ravi A. 19 2010 Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian. Zbl 1167.19002Bak, A.; Hazrat, R.; Vavilov, N. 31 2009 Splitting a simple homotopy equivalence along a submanifold with filtration. Zbl 1166.57019Bak, A.; Muranov, Yu V. 4 2008 Equivariant intersection theory and surgery theory for manifolds with middle dimensional singular sets. Zbl 1156.57028Bak, Anthony; Morimoto, Masaharu 3 2008 Homology of multiplicative Lie rings. Zbl 1138.18007Bak, A.; Donadze, G.; Inassaridze, N.; Ladra, M. 7 2007 Global actions, groupoid atlases and applications. Zbl 1129.55009Bak, A.; Brown, R.; Minian, G.; Porter, T. 6 2006 Normal invariants of manifold pairs and assembly maps. Zbl 1148.57042Bak, A.; Muranov, Yu. V. 3 2006 The dimension of spheres with smooth one fixed point actions. Zbl 1101.57018Bak, Anthony; Morimoto, Masaharu 7 2005 Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups. Zbl 1068.16032Bak, Anthony; Tang, Guoping 11 2004 Splitting along submanifolds and \(\mathbb L\)-spectra. Zbl 1078.57030Bak, A.; Muranov, Yu. V. 7 2004 Stability for quadratic \(K_1\). Zbl 1048.19001Bak, Anthony; Petrov, Viktor; Guoping, Tang 21 2003 Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001Bak, Anthony; Stepanov, Alexei 12 2001 Structure of hyperbolic unitary groups. I: Elementary subgroups. Zbl 0963.20024Bak, Anthony; Vavilov, Nikolai 59 2000 Stability for Hermitian \(K_1\). Zbl 0961.19002Bak, Anthony; Tang, Guoping 21 2000 Presenting powers of augmentation ideals and Pfister forms. Zbl 0985.11016Bak, Anthony; Vavilov, Nikolai 3 2000 Topological methods in algebra. Zbl 0914.18010Bak, A. 2 1998 Global actions: The algebraic counterpart of a topological space. Zbl 0928.18005Bak, A. 2 1997 Equivariant surgery with middle dimensional singular sets. I. Zbl 0860.57028Bak, Anthony; Morimoto, Masaharu 8 1996 Normality for elementary subgroup functors. Zbl 0857.20028Bak, Anthony; Vavilov, Nikolai 34 1995 Induction for finite groups revisited. Zbl 0844.19001Bak, Anthony 5 1995 \(K\)-theoretic groups with positioning map and equivariant surgery. Zbl 0822.57025Bak, Anthony; Morimoto, Masaharu 8 1994 Equivariant surgery and applications. Zbl 1039.57502Bak, Anthony; Morimoto, Masaharu 8 1992 Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability. Zbl 0741.19001Bak, Anthony 55 1991 \(K_ 2\)-analogs of Hasse’s norm theorems. Zbl 0539.12007Bak, Anthony; Rehmann, Ulf 8 1984 Algebraic K-theory, number theory, geometry and analysis. Proceedings of the International Conference held at Bielefeld, Federal Republic of Germany, July 26-30, 1982. Zbl 0518.00003Bak, A. (ed.) 1 1984 The congruence subgroup and metaplectic problems for \(SL_{n>1}\) of division algebras. Zbl 0495.20022Bak, Anthony; Rehmann, Ulf 13 1982 Subgroups of the general linear group normalized by relative elementary groups. Zbl 0536.20030Bak, Anthony 10 1982 K-theory of forms. Zbl 0465.10013Bak, Anthony 69 1981 The computation of odd dimensional projective surgery groups of finite groups. Zbl 0465.57016Bak, Anthony; Kolster, Manfred 7 1981 Le problème des sous-groupes de congruence et le problème metaplectique pour les groupes classiques de rang \(>1\). Zbl 0461.20031Bak, Anthony 6 1981 Arf’s theorem for trace Noetherian and other rings. Zbl 0394.16010Bak, Anthony 5 1979 Le problème des sous-groupes de congruence dans \(SL_{n\geq 2}\) sur un corps gauche. Zbl 0423.20045Bak, Anthony; Rehmann, Ulf 4 1979 The computation of even dimension surgery groups of odd torsion groups. Zbl 0447.57022Bak, Anthony 7 1978 The involution on Whitehead torsion. Zbl 0367.18011Bak, Anthony 8 1977 Grothendieck groups of modules and forms over commutative orders. Zbl 0369.16022Bak, Anthony 4 1977 Definitions and problems in surgery and related groups. Zbl 0359.57018Bak, Anthony 4 1977 The computation of surgery groups of finite groups with abelian 2- hyperelementary subgroups. Zbl 0346.57012Bak, Anthony 11 1976 Odd dimension surgery groups of odd torsion groups vanish. Zbl 0322.57021Bak, Anthony 11 1975 Grothendieck and Witt groups of orders and finite groups. Zbl 0288.16016Bak, Anthony; Scharlau, Winfried 18 1974 The computation of surgery groups of odd torsion groups. Zbl 0336.18012Bak, Anthony 7 1974 On modules with quadratic forms. Zbl 0192.37202Bak, A. 44 1969 all cited Publications top 5 cited Publications all top 5 Cited by 205 Authors 43 Vavilov, Nikolaĭ Aleksandrovich 17 Bak, Anthony 14 Morimoto, Masaharu 13 Stepanov, Alexeĭ Vladimirovich 12 Hazrat, Roozbeh 12 Zhang, Zuhong 11 Rao, Ravi A. 9 Muranov, Yuriĭ Vladimirovich 9 You, Hong 6 Kwasik, Sławomir 6 Luzgarev, A. Yu. 6 Sinchuk, Sergeĭ Sergeevich 5 Basu, Rabeya 5 Preusser, Raimund 5 Schultz, Reinhard E. 5 Tang, Guoping 4 Ambily, Ambattu Asokan 4 Cavicchioli, Alberto 4 Jiménez Benitez, Rolando 4 Petrov, Viktor 4 Spaggiari, Fulvia 4 Stavrova, Anastasia K. 4 Vaserstein, Leonid N. 4 Ye, Shengkui 4 Yu, Weibo 3 Chang, Shan 3 Chattopadhyay, Pratyusha 3 Hambleton, Ian 3 Jespers, Eric 3 Jose, Selby 3 Raghunathan, Madabusi Santanam 3 Randal-Williams, Oscar 3 Song, Yongjin 3 Wall, Charles Terence Clegg 3 Zhou, Qingxia 2 Anan’evskii, A. S. 2 Bayer-Fluckiger, Eva 2 Bunina, E. I. 2 Donadze, Guram 2 Dybkova, E. V. 2 Galatius, Søren 2 Gvozdevsky, Pavel 2 Hegenbarth, Friedrich 2 Heidari, Mahin 2 Hughes, Mark C. 2 Inassaridze, Nikoloz 2 Jahren, Bjørn 2 Karoubi, Max 2 Kazakevich, V. G. 2 Keshari, Manoj Kumar 2 Khan, Qayum 2 Khanna, Reema 2 Kolster, Manfred 2 Ladra González, Manuel 2 Lavrenov, Andrei V. 2 Lück, Wolfgang 2 Milgram, Richard James 2 Minian, Elias Gabriel 2 Oliver, Bob 2 Pardon, William L. 2 Pearl, Elliott 2 Prasad, Gopal 2 Ranicki, Andrew A. 2 Rapinchuk, Andrei S. 2 Rehmann, Ulf 2 Repovš, Dušan D. 2 Rismanchian, Mohammad Reza 2 Scharlau, Winfried 2 Sharma, Sampat 2 Smolensky, Andrei 2 Voronetsky, E. Yu. 2 Voronetsky, Egor 2 Yamazaki, Takao 2 Zhou, Xuemei 1 Apte, Himanee 1 Araskhan, Mehdi 1 Asok, Aravind 1 Baeza, Ricardo 1 Banagl, Markus 1 Basu, Rudranil 1 Batalkin, K. O. 1 Baues, Hans-Joachim 1 Belegradek, Igor 1 Bertuccioni, Inta 1 Borowiecka, Agnieszka 1 Cencelj, Matija 1 Charney, Ruth M. 1 Chen, Sheng 1 Chen, Yu 1 Chen, Yu 1 Clouston, Ranald A. 1 Coleman, Donald B. 1 Corbas, B. 1 Cunningham, Joel 1 Dasgupta, Bhanumati 1 de A. e Silva, A. 1 del Hoyo, Matías L. 1 Dhorajia, Alpesh M. 1 Dietel, Gerhard 1 Dooms, Ann ...and 105 more Authors all top 5 Cited in 75 Serials 33 Journal of Mathematical Sciences (New York) 26 Journal of Algebra 25 Journal of Pure and Applied Algebra 16 \(K\)-Theory 15 St. Petersburg Mathematical Journal 13 Communications in Algebra 9 Inventiones Mathematicae 8 Journal of \(K\)-Theory 7 Mathematische Annalen 6 Mathematische Zeitschrift 6 Transactions of the American Mathematical Society 6 Topology and its Applications 5 Journal of Group Theory 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 Journal of Soviet Mathematics 4 Algebraic & Geometric Topology 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Czechoslovak Mathematical Journal 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Algebra Colloquium 3 Journal of Algebra and its Applications 3 Bulletin of the American Mathematical Society 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Acta Applicandae Mathematicae 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Vestnik St. Petersburg University. Mathematics 2 Geometry & Topology 2 Mediterranean Journal of Mathematics 2 Journal of Homotopy and Related Structures 2 Annals of \(K\)-Theory 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Computer and System Sciences 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the Moscow Mathematical Society 1 Order 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Applied Categorical Structures 1 Documenta Mathematica 1 Transformation Groups 1 Trudy Instituta Matematiki 1 Central European Journal of Mathematics 1 Proceedings of the Japan Academy 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Sigma all top 5 Cited in 27 Fields 143 Group theory and generalizations (20-XX) 81 \(K\)-theory (19-XX) 71 Manifolds and cell complexes (57-XX) 44 Associative rings and algebras (16-XX) 38 Number theory (11-XX) 33 Category theory; homological algebra (18-XX) 32 Commutative algebra (13-XX) 26 Algebraic topology (55-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 13 Algebraic geometry (14-XX) 6 Field theory and polynomials (12-XX) 5 Nonassociative rings and algebras (17-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Topological groups, Lie groups (22-XX) 4 General topology (54-XX) 2 History and biography (01-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.