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Bak, Anthony

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Author ID: bak.anthony Recent zbMATH articles by "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

Publications by Year

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
69
1981
Structure of hyperbolic unitary groups. I: Elementary subgroups. Zbl 0963.20024
Bak, Anthony; Vavilov, Nikolai
59
2000
Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability. Zbl 0741.19001
Bak, Anthony
55
1991
On modules with quadratic forms. Zbl 0192.37202
Bak, A.
44
1969
Normality for elementary subgroup functors. Zbl 0857.20028
Bak, Anthony; Vavilov, Nikolai
34
1995
Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian. Zbl 1167.19002
Bak, A.; Hazrat, R.; Vavilov, N.
31
2009
Stability for quadratic \(K_1\). Zbl 1048.19001
Bak, Anthony; Petrov, Viktor; Guoping, Tang
21
2003
Stability for Hermitian \(K_1\). Zbl 0961.19002
Bak, Anthony; Tang, Guoping
21
2000
Local-global principle for transvection groups. Zbl 1187.19001
Bak, A.; Basu, Rabeya; Rao, Ravi A.
19
2010
Grothendieck and Witt groups of orders and finite groups. Zbl 0288.16016
Bak, Anthony; Scharlau, Winfried
18
1974
The congruence subgroup and metaplectic problems for \(SL_{n>1}\) of division algebras. Zbl 0495.20022
Bak, Anthony; Rehmann, Ulf
13
1982
Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001
Bak, Anthony; Stepanov, Alexei
12
2001
Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups. Zbl 1068.16032
Bak, Anthony; Tang, Guoping
11
2004
The computation of surgery groups of finite groups with abelian 2- hyperelementary subgroups. Zbl 0346.57012
Bak, Anthony
11
1976
Odd dimension surgery groups of odd torsion groups vanish. Zbl 0322.57021
Bak, Anthony
11
1975
Subgroups of the general linear group normalized by relative elementary groups. Zbl 0536.20030
Bak, Anthony
10
1982
Equivariant surgery with middle dimensional singular sets. I. Zbl 0860.57028
Bak, Anthony; Morimoto, Masaharu
8
1996
\(K\)-theoretic groups with positioning map and equivariant surgery. Zbl 0822.57025
Bak, Anthony; Morimoto, Masaharu
8
1994
Equivariant surgery and applications. Zbl 1039.57502
Bak, Anthony; Morimoto, Masaharu
8
1992
\(K_ 2\)-analogs of Hasse’s norm theorems. Zbl 0539.12007
Bak, Anthony; Rehmann, Ulf
8
1984
The involution on Whitehead torsion. Zbl 0367.18011
Bak, Anthony
8
1977
Homology of multiplicative Lie rings. Zbl 1138.18007
Bak, A.; Donadze, G.; Inassaridze, N.; Ladra, M.
7
2007
The dimension of spheres with smooth one fixed point actions. Zbl 1101.57018
Bak, Anthony; Morimoto, Masaharu
7
2005
Splitting along submanifolds and \(\mathbb L\)-spectra. Zbl 1078.57030
Bak, A.; Muranov, Yu. V.
7
2004
The computation of odd dimensional projective surgery groups of finite groups. Zbl 0465.57016
Bak, Anthony; Kolster, Manfred
7
1981
The computation of even dimension surgery groups of odd torsion groups. Zbl 0447.57022
Bak, Anthony
7
1978
The computation of surgery groups of odd torsion groups. Zbl 0336.18012
Bak, Anthony
7
1974
Global actions, groupoid atlases and applications. Zbl 1129.55009
Bak, 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 0461.20031
Bak, Anthony
6
1981
Induction for finite groups revisited. Zbl 0844.19001
Bak, Anthony
5
1995
Arf’s theorem for trace Noetherian and other rings. Zbl 0394.16010
Bak, Anthony
5
1979
The E-normal structure of odd dimensional unitary groups. Zbl 06865866
Bak, Anthony; Preusser, Raimund
4
2018
Splitting a simple homotopy equivalence along a submanifold with filtration. Zbl 1166.57019
Bak, A.; Muranov, Yu V.
4
2008
Le problème des sous-groupes de congruence dans \(SL_{n\geq 2}\) sur un corps gauche. Zbl 0423.20045
Bak, Anthony; Rehmann, Ulf
4
1979
Grothendieck groups of modules and forms over commutative orders. Zbl 0369.16022
Bak, Anthony
4
1977
Definitions and problems in surgery and related groups. Zbl 0359.57018
Bak, Anthony
4
1977
Equivariant intersection theory and surgery theory for manifolds with middle dimensional singular sets. Zbl 1156.57028
Bak, Anthony; Morimoto, Masaharu
3
2008
Normal invariants of manifold pairs and assembly maps. Zbl 1148.57042
Bak, A.; Muranov, Yu. V.
3
2006
Presenting powers of augmentation ideals and Pfister forms. Zbl 0985.11016
Bak, Anthony; Vavilov, Nikolai
3
2000
Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064
Bak, A.; Stepanov, A.
2
2017
Topological methods in algebra. Zbl 0914.18010
Bak, A.
2
1998
Global actions: The algebraic counterpart of a topological space. Zbl 0928.18005
Bak, A.
2
1997
Surgery on a pair of transversal manifolds. Zbl 1257.57034
Bak, 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 0518.00003
Bak, A. (ed.)
1
1984
The E-normal structure of odd dimensional unitary groups. Zbl 06865866
Bak, Anthony; Preusser, Raimund
4
2018
Subring subgroups of symplectic groups in characteristic 2. Zbl 1365.14064
Bak, A.; Stepanov, A.
2
2017
Surgery on a pair of transversal manifolds. Zbl 1257.57034
Bak, A.; Muranov, Y. V.
1
2012
Local-global principle for transvection groups. Zbl 1187.19001
Bak, A.; Basu, Rabeya; Rao, Ravi A.
19
2010
Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian. Zbl 1167.19002
Bak, A.; Hazrat, R.; Vavilov, N.
31
2009
Splitting a simple homotopy equivalence along a submanifold with filtration. Zbl 1166.57019
Bak, A.; Muranov, Yu V.
4
2008
Equivariant intersection theory and surgery theory for manifolds with middle dimensional singular sets. Zbl 1156.57028
Bak, Anthony; Morimoto, Masaharu
3
2008
Homology of multiplicative Lie rings. Zbl 1138.18007
Bak, A.; Donadze, G.; Inassaridze, N.; Ladra, M.
7
2007
Global actions, groupoid atlases and applications. Zbl 1129.55009
Bak, A.; Brown, R.; Minian, G.; Porter, T.
6
2006
Normal invariants of manifold pairs and assembly maps. Zbl 1148.57042
Bak, A.; Muranov, Yu. V.
3
2006
The dimension of spheres with smooth one fixed point actions. Zbl 1101.57018
Bak, Anthony; Morimoto, Masaharu
7
2005
Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups. Zbl 1068.16032
Bak, Anthony; Tang, Guoping
11
2004
Splitting along submanifolds and \(\mathbb L\)-spectra. Zbl 1078.57030
Bak, A.; Muranov, Yu. V.
7
2004
Stability for quadratic \(K_1\). Zbl 1048.19001
Bak, Anthony; Petrov, Viktor; Guoping, Tang
21
2003
Dimension theory and nonstable K-theory for net groups. Zbl 1072.19001
Bak, Anthony; Stepanov, Alexei
12
2001
Structure of hyperbolic unitary groups. I: Elementary subgroups. Zbl 0963.20024
Bak, Anthony; Vavilov, Nikolai
59
2000
Stability for Hermitian \(K_1\). Zbl 0961.19002
Bak, Anthony; Tang, Guoping
21
2000
Presenting powers of augmentation ideals and Pfister forms. Zbl 0985.11016
Bak, Anthony; Vavilov, Nikolai
3
2000
Topological methods in algebra. Zbl 0914.18010
Bak, A.
2
1998
Global actions: The algebraic counterpart of a topological space. Zbl 0928.18005
Bak, A.
2
1997
Equivariant surgery with middle dimensional singular sets. I. Zbl 0860.57028
Bak, Anthony; Morimoto, Masaharu
8
1996
Normality for elementary subgroup functors. Zbl 0857.20028
Bak, Anthony; Vavilov, Nikolai
34
1995
Induction for finite groups revisited. Zbl 0844.19001
Bak, Anthony
5
1995
\(K\)-theoretic groups with positioning map and equivariant surgery. Zbl 0822.57025
Bak, Anthony; Morimoto, Masaharu
8
1994
Equivariant surgery and applications. Zbl 1039.57502
Bak, Anthony; Morimoto, Masaharu
8
1992
Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability. Zbl 0741.19001
Bak, Anthony
55
1991
\(K_ 2\)-analogs of Hasse’s norm theorems. Zbl 0539.12007
Bak, 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 0518.00003
Bak, A. (ed.)
1
1984
The congruence subgroup and metaplectic problems for \(SL_{n>1}\) of division algebras. Zbl 0495.20022
Bak, Anthony; Rehmann, Ulf
13
1982
Subgroups of the general linear group normalized by relative elementary groups. Zbl 0536.20030
Bak, Anthony
10
1982
K-theory of forms. Zbl 0465.10013
Bak, Anthony
69
1981
The computation of odd dimensional projective surgery groups of finite groups. Zbl 0465.57016
Bak, Anthony; Kolster, Manfred
7
1981
Le problème des sous-groupes de congruence et le problème metaplectique pour les groupes classiques de rang \(>1\). Zbl 0461.20031
Bak, Anthony
6
1981
Arf’s theorem for trace Noetherian and other rings. Zbl 0394.16010
Bak, Anthony
5
1979
Le problème des sous-groupes de congruence dans \(SL_{n\geq 2}\) sur un corps gauche. Zbl 0423.20045
Bak, Anthony; Rehmann, Ulf
4
1979
The computation of even dimension surgery groups of odd torsion groups. Zbl 0447.57022
Bak, Anthony
7
1978
The involution on Whitehead torsion. Zbl 0367.18011
Bak, Anthony
8
1977
Grothendieck groups of modules and forms over commutative orders. Zbl 0369.16022
Bak, Anthony
4
1977
Definitions and problems in surgery and related groups. Zbl 0359.57018
Bak, Anthony
4
1977
The computation of surgery groups of finite groups with abelian 2- hyperelementary subgroups. Zbl 0346.57012
Bak, Anthony
11
1976
Odd dimension surgery groups of odd torsion groups vanish. Zbl 0322.57021
Bak, Anthony
11
1975
Grothendieck and Witt groups of orders and finite groups. Zbl 0288.16016
Bak, Anthony; Scharlau, Winfried
18
1974
The computation of surgery groups of odd torsion groups. Zbl 0336.18012
Bak, Anthony
7
1974
On modules with quadratic forms. Zbl 0192.37202
Bak, A.
44
1969
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

Citations by Year

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