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## Bak, Anthony

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 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
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#### 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
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#### 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
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#### 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)

#### Citations contained in zbMATH

44 Publications have been cited 580 times in 278 Documents Cited by Year
K-theory of forms. Zbl 0465.10013
Bak, Anthony
1981
Structure of hyperbolic unitary groups. I: Elementary subgroups. Zbl 0963.20024
Bak, Anthony; Vavilov, Nikolai
2000
Nonabelian $$K$$-theory: The nilpotent class of $$K_ 1$$ and general stability. Zbl 0741.19001
Bak, Anthony
1991
On modules with quadratic forms. Zbl 0192.37202
Bak, A.
1969
Normality for elementary subgroup functors. Zbl 0857.20028
Bak, Anthony; Vavilov, Nikolai
1995
Localization-completion strikes again: relative $$K_1$$ is nilpotent by Abelian. Zbl 1167.19002
Bak, A.; Hazrat, R.; Vavilov, N.
2009
Stability for quadratic $$K_1$$. Zbl 1048.19001
Bak, Anthony; Petrov, Viktor; Guoping, Tang
2003
Stability for Hermitian $$K_1$$. Zbl 0961.19002
Bak, Anthony; Tang, Guoping
2000
Local-global principle for transvection groups. Zbl 1187.19001
Bak, A.; Basu, Rabeya; Rao, Ravi A.
2010
Grothendieck and Witt groups of orders and finite groups. Zbl 0288.16016
Bak, Anthony; Scharlau, Winfried
1974
The congruence subgroup and metaplectic problems for $$SL_{n>1}$$ of division algebras. Zbl 0495.20022
Bak, Anthony; Rehmann, Ulf
1982
Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001
Bak, Anthony; Stepanov, Alexei
2001
Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups. Zbl 1068.16032
Bak, Anthony; Tang, Guoping
2004
The computation of surgery groups of finite groups with abelian 2- hyperelementary subgroups. Zbl 0346.57012
Bak, Anthony
1976
Odd dimension surgery groups of odd torsion groups vanish. Zbl 0322.57021
Bak, Anthony
1975
Subgroups of the general linear group normalized by relative elementary groups. Zbl 0536.20030
Bak, Anthony
1982
Equivariant surgery with middle dimensional singular sets. I. Zbl 0860.57028
Bak, Anthony; Morimoto, Masaharu
1996
$$K$$-theoretic groups with positioning map and equivariant surgery. Zbl 0822.57025
Bak, Anthony; Morimoto, Masaharu
1994
Equivariant surgery and applications. Zbl 1039.57502
Bak, Anthony; Morimoto, Masaharu
1992
$$K_ 2$$-analogs of Hasse’s norm theorems. Zbl 0539.12007
Bak, Anthony; Rehmann, Ulf
1984
The involution on Whitehead torsion. Zbl 0367.18011
Bak, Anthony
1977
Homology of multiplicative Lie rings. Zbl 1138.18007
2007
The dimension of spheres with smooth one fixed point actions. Zbl 1101.57018
Bak, Anthony; Morimoto, Masaharu
2005
Splitting along submanifolds and $$\mathbb L$$-spectra. Zbl 1078.57030
Bak, A.; Muranov, Yu. V.
2004
The computation of odd dimensional projective surgery groups of finite groups. Zbl 0465.57016
Bak, Anthony; Kolster, Manfred
1981
The computation of even dimension surgery groups of odd torsion groups. Zbl 0447.57022
Bak, Anthony
1978
The computation of surgery groups of odd torsion groups. Zbl 0336.18012
Bak, Anthony
1974
Global actions, groupoid atlases and applications. Zbl 1129.55009
Bak, A.; Brown, R.; Minian, G.; Porter, T.
2006
Le problème des sous-groupes de congruence et le problème metaplectique pour les groupes classiques de rang $$>1$$. Zbl 0461.20031
Bak, Anthony
1981
Induction for finite groups revisited. Zbl 0844.19001
Bak, Anthony
1995
Arf’s theorem for trace Noetherian and other rings. Zbl 0394.16010
Bak, Anthony
1979
The E-normal structure of odd dimensional unitary groups. Zbl 06865866
Bak, Anthony; Preusser, Raimund
2018
Splitting a simple homotopy equivalence along a submanifold with filtration. Zbl 1166.57019
Bak, A.; Muranov, Yu V.
2008
Le problème des sous-groupes de congruence dans $$SL_{n\geq 2}$$ sur un corps gauche. Zbl 0423.20045
Bak, Anthony; Rehmann, Ulf
1979
Grothendieck groups of modules and forms over commutative orders. Zbl 0369.16022
Bak, Anthony
1977
Definitions and problems in surgery and related groups. Zbl 0359.57018
Bak, Anthony
1977
Equivariant intersection theory and surgery theory for manifolds with middle dimensional singular sets. Zbl 1156.57028
Bak, Anthony; Morimoto, Masaharu
2008
Normal invariants of manifold pairs and assembly maps. Zbl 1148.57042
Bak, A.; Muranov, Yu. V.
2006
Presenting powers of augmentation ideals and Pfister forms. Zbl 0985.11016
Bak, Anthony; Vavilov, Nikolai
2000
Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064
Bak, A.; Stepanov, A.
2017
Topological methods in algebra. Zbl 0914.18010
Bak, A.
1998
Global actions: The algebraic counterpart of a topological space. Zbl 0928.18005
Bak, A.
1997
Surgery on a pair of transversal manifolds. Zbl 1257.57034
Bak, A.; Muranov, Y. V.
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 0518.00003
Bak, A. (ed.)
1984
The E-normal structure of odd dimensional unitary groups. Zbl 06865866
Bak, Anthony; Preusser, Raimund
2018
Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064
Bak, A.; Stepanov, A.
2017
Surgery on a pair of transversal manifolds. Zbl 1257.57034
Bak, A.; Muranov, Y. V.
2012
Local-global principle for transvection groups. Zbl 1187.19001
Bak, A.; Basu, Rabeya; Rao, Ravi A.
2010
Localization-completion strikes again: relative $$K_1$$ is nilpotent by Abelian. Zbl 1167.19002
Bak, A.; Hazrat, R.; Vavilov, N.
2009
Splitting a simple homotopy equivalence along a submanifold with filtration. Zbl 1166.57019
Bak, A.; Muranov, Yu V.
2008
Equivariant intersection theory and surgery theory for manifolds with middle dimensional singular sets. Zbl 1156.57028
Bak, Anthony; Morimoto, Masaharu
2008
Homology of multiplicative Lie rings. Zbl 1138.18007
2007
Global actions, groupoid atlases and applications. Zbl 1129.55009
Bak, A.; Brown, R.; Minian, G.; Porter, T.
2006
Normal invariants of manifold pairs and assembly maps. Zbl 1148.57042
Bak, A.; Muranov, Yu. V.
2006
The dimension of spheres with smooth one fixed point actions. Zbl 1101.57018
Bak, Anthony; Morimoto, Masaharu
2005
Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups. Zbl 1068.16032
Bak, Anthony; Tang, Guoping
2004
Splitting along submanifolds and $$\mathbb L$$-spectra. Zbl 1078.57030
Bak, A.; Muranov, Yu. V.
2004
Stability for quadratic $$K_1$$. Zbl 1048.19001
Bak, Anthony; Petrov, Viktor; Guoping, Tang
2003
Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001
Bak, Anthony; Stepanov, Alexei
2001
Structure of hyperbolic unitary groups. I: Elementary subgroups. Zbl 0963.20024
Bak, Anthony; Vavilov, Nikolai
2000
Stability for Hermitian $$K_1$$. Zbl 0961.19002
Bak, Anthony; Tang, Guoping
2000
Presenting powers of augmentation ideals and Pfister forms. Zbl 0985.11016
Bak, Anthony; Vavilov, Nikolai
2000
Topological methods in algebra. Zbl 0914.18010
Bak, A.
1998
Global actions: The algebraic counterpart of a topological space. Zbl 0928.18005
Bak, A.
1997
Equivariant surgery with middle dimensional singular sets. I. Zbl 0860.57028
Bak, Anthony; Morimoto, Masaharu
1996
Normality for elementary subgroup functors. Zbl 0857.20028
Bak, Anthony; Vavilov, Nikolai
1995
Induction for finite groups revisited. Zbl 0844.19001
Bak, Anthony
1995
$$K$$-theoretic groups with positioning map and equivariant surgery. Zbl 0822.57025
Bak, Anthony; Morimoto, Masaharu
1994
Equivariant surgery and applications. Zbl 1039.57502
Bak, Anthony; Morimoto, Masaharu
1992
Nonabelian $$K$$-theory: The nilpotent class of $$K_ 1$$ and general stability. Zbl 0741.19001
Bak, Anthony
1991
$$K_ 2$$-analogs of Hasse’s norm theorems. Zbl 0539.12007
Bak, Anthony; Rehmann, Ulf
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 0518.00003
Bak, A. (ed.)
1984
The congruence subgroup and metaplectic problems for $$SL_{n>1}$$ of division algebras. Zbl 0495.20022
Bak, Anthony; Rehmann, Ulf
1982
Subgroups of the general linear group normalized by relative elementary groups. Zbl 0536.20030
Bak, Anthony
1982
K-theory of forms. Zbl 0465.10013
Bak, Anthony
1981
The computation of odd dimensional projective surgery groups of finite groups. Zbl 0465.57016
Bak, Anthony; Kolster, Manfred
1981
Le problème des sous-groupes de congruence et le problème metaplectique pour les groupes classiques de rang $$>1$$. Zbl 0461.20031
Bak, Anthony
1981
Arf’s theorem for trace Noetherian and other rings. Zbl 0394.16010
Bak, Anthony
1979
Le problème des sous-groupes de congruence dans $$SL_{n\geq 2}$$ sur un corps gauche. Zbl 0423.20045
Bak, Anthony; Rehmann, Ulf
1979
The computation of even dimension surgery groups of odd torsion groups. Zbl 0447.57022
Bak, Anthony
1978
The involution on Whitehead torsion. Zbl 0367.18011
Bak, Anthony
1977
Grothendieck groups of modules and forms over commutative orders. Zbl 0369.16022
Bak, Anthony
1977
Definitions and problems in surgery and related groups. Zbl 0359.57018
Bak, Anthony
1977
The computation of surgery groups of finite groups with abelian 2- hyperelementary subgroups. Zbl 0346.57012
Bak, Anthony
1976
Odd dimension surgery groups of odd torsion groups vanish. Zbl 0322.57021
Bak, Anthony
1975
Grothendieck and Witt groups of orders and finite groups. Zbl 0288.16016
Bak, Anthony; Scharlau, Winfried
1974
The computation of surgery groups of odd torsion groups. Zbl 0336.18012
Bak, Anthony
1974
On modules with quadratic forms. Zbl 0192.37202
Bak, A.
1969
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#### 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
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#### 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
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#### 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)

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