## Stein, Michael R.

Compute Distance To:
 Author ID: stein.michael-r Published as: Stein, Michael R.; Stein, M. R. Homepage: http://www.math.northwestern.edu/people/faculty/michael-stein.html External Links: MGP
 Documents Indexed: 22 Publications since 1971 5 Contributions as Editor · 2 Further Contributions Reviewing Activity: 48 Reviews Co-Authors: 9 Co-Authors with 16 Joint Publications 200 Co-Co-Authors
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### Co-Authors

 11 single-authored 13 Dennis, Roger Keith 3 Alperin, Roger Charles 2 Friedlander, Eric Mark 1 Ahser, Jana 1 Bloch, Spencer J. 1 Browder, William 1 Carriquiry, Alicia L. 1 Efron, Bradley 1 Gneiting, Tilmann 1 Haberman, Shelby J. 1 Keating, Michael E. 1 Klomp, Julian M. 1 Kluge, Roland 1 Kou, Samuel 1 Loday, Jean-Louis 1 Mühlhäuser, Max 1 Newton, Michael A. 1 Oliver, Bob 1 Paddock, Susan M. 1 Pedrini, Claudio 1 Prewitt, Kenneth 1 Raftery, Adrian E. 1 Schnee, Mathias 1 Straf, Miron L. 1 Van der Kallen, Wilberd 1 Weihe, Karsten 1 Wilberg, Augustin
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### Serials

 4 Bulletin of the American Mathematical Society 3 Contemporary Mathematics 2 Inventiones Mathematicae 2 Journal of Pure and Applied Algebra 2 Mathematische Annalen 2 Lecture Notes in Mathematics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Journal of Algebra 1 Japanese Journal of Mathematics. New Series 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Documenta Mathematica 1 The Annals of Applied Statistics
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### Fields

 23 Category theory; homological algebra (18-XX) 8 Commutative algebra (13-XX) 8 Group theory and generalizations (20-XX) 6 General and overarching topics; collections (00-XX) 6 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 4 $$K$$-theory (19-XX) 2 Number theory (11-XX) 1 History and biography (01-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

21 Publications have been cited 307 times in 202 Documents Cited by Year
Generators, relations and coverings of Chevalley groups over commutative rings. Zbl 0246.20034
Stein, Michael R.
1971
$$K_2$$ of discrete valuation rings. Zbl 0318.13017
Dennis, R. Keith; Stein, Michael R.
1975
Stability theorems for $$K_2$$, $$K_2$$ and related functors modeled on Chevalley groups. Zbl 0403.18010
Stein, Michael R.
1978
Surjective stability in dimension 0 for K$$_2$$ and related functors. Zbl 0267.18015
Stein, Michael R.
1973
Relativizing functors on rings and algebraic K-theory. Zbl 0219.18007
Stein, M. R.
1971
Lower bounds for the order of $$K_2(ZG)$$ and $$Wh_2(G)$$. Zbl 0342.18006
Dennis, R. Keith; Keating, Michael E.; Stein, Michael R.
1976
Whitehead groups of finite groups. Zbl 0386.18010
Stein, Michael R.
1978
$$SK_1$$ of finite abelian groups. II. Zbl 0605.18006
Alperin, Roger C.; Dennis, R. Keith; Oliver, R.; Stein, Michael R.
1987
Injective stability for $$K_2$$ of local rings. Zbl 0299.18007
Dennis, R. Keith; Stein, Michael R.
1974
Excision and $$K_ 2$$ of group rings. Zbl 0485.16017
Stein, Michael R.
1980
The functor $$\mathbf K_2$$: a survey of computations and problems. Zbl 0271.18011
Dennis, R. Keith; Stein, Michael R.
1973
The Schur multipliers of Sp$$_6(Z)$$, Spin$$_8(Z)$$, Spin$$_7(Z)$$ and F$$_4(Z)$$. Zbl 0291.20058
Stein, Michael R.
1975
$$SK_1$$ of finite Abelian groups. I. Zbl 0576.18007
Alperin, Roger C.; Dennis, R. Keith; Stein, Michael R.
1985
On the Schur multipliers of Chevalley groups over commutative rings. Zbl 0339.18007
van der Kallen, Wilberd; Stein, Michael R.
1977
Chevalley groups over commutative rings. Zbl 0212.36404
Stein, M. R.
1971
A new exact sequence for K$$_2$$ and some consequences for rings of integers. Zbl 0261.18012
Dennis, R. Keith; Stein, Michael R.
1972
$$\mathbf K_2$$ of radical ideals and semi-local rings revisited. Zbl 0271.18012
Stein, Michael R.; Dennis, R. Keith
1973
Maps of rings which induce surjections on $$K_ 3$$. Zbl 0484.18010
Stein, Michael R.
1981
Algebraic K-theory. Proceedings of the conference, held at Northwestern University, Evanston, January 12-16, 1976. Zbl 0328.00005
1976
The non-triviality of $$SK_1(\mathbb Z\pi)$$. Zbl 0275.18013
Alperin, Roger C.; Dennis, R. Keith; Stein, Michael R.
1973
Parametrized braid groups of Chevalley groups. Zbl 1147.20034
Loday, Jean-Louis; Stein, Michael R.
2005
Parametrized braid groups of Chevalley groups. Zbl 1147.20034
Loday, Jean-Louis; Stein, Michael R.
2005
$$SK_1$$ of finite abelian groups. II. Zbl 0605.18006
Alperin, Roger C.; Dennis, R. Keith; Oliver, R.; Stein, Michael R.
1987
$$SK_1$$ of finite Abelian groups. I. Zbl 0576.18007
Alperin, Roger C.; Dennis, R. Keith; Stein, Michael R.
1985
Maps of rings which induce surjections on $$K_ 3$$. Zbl 0484.18010
Stein, Michael R.
1981
Excision and $$K_ 2$$ of group rings. Zbl 0485.16017
Stein, Michael R.
1980
Stability theorems for $$K_2$$, $$K_2$$ and related functors modeled on Chevalley groups. Zbl 0403.18010
Stein, Michael R.
1978
Whitehead groups of finite groups. Zbl 0386.18010
Stein, Michael R.
1978
On the Schur multipliers of Chevalley groups over commutative rings. Zbl 0339.18007
van der Kallen, Wilberd; Stein, Michael R.
1977
Lower bounds for the order of $$K_2(ZG)$$ and $$Wh_2(G)$$. Zbl 0342.18006
Dennis, R. Keith; Keating, Michael E.; Stein, Michael R.
1976
Algebraic K-theory. Proceedings of the conference, held at Northwestern University, Evanston, January 12-16, 1976. Zbl 0328.00005
1976
$$K_2$$ of discrete valuation rings. Zbl 0318.13017
Dennis, R. Keith; Stein, Michael R.
1975
The Schur multipliers of Sp$$_6(Z)$$, Spin$$_8(Z)$$, Spin$$_7(Z)$$ and F$$_4(Z)$$. Zbl 0291.20058
Stein, Michael R.
1975
Injective stability for $$K_2$$ of local rings. Zbl 0299.18007
Dennis, R. Keith; Stein, Michael R.
1974
Surjective stability in dimension 0 for K$$_2$$ and related functors. Zbl 0267.18015
Stein, Michael R.
1973
The functor $$\mathbf K_2$$: a survey of computations and problems. Zbl 0271.18011
Dennis, R. Keith; Stein, Michael R.
1973
$$\mathbf K_2$$ of radical ideals and semi-local rings revisited. Zbl 0271.18012
Stein, Michael R.; Dennis, R. Keith
1973
The non-triviality of $$SK_1(\mathbb Z\pi)$$. Zbl 0275.18013
Alperin, Roger C.; Dennis, R. Keith; Stein, Michael R.
1973
A new exact sequence for K$$_2$$ and some consequences for rings of integers. Zbl 0261.18012
Dennis, R. Keith; Stein, Michael R.
1972
Generators, relations and coverings of Chevalley groups over commutative rings. Zbl 0246.20034
Stein, Michael R.
1971
Relativizing functors on rings and algebraic K-theory. Zbl 0219.18007
Stein, M. R.
1971
Chevalley groups over commutative rings. Zbl 0212.36404
Stein, M. R.
1971
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### Cited by 157 Authors

 39 Vavilov, Nikolaĭ Aleksandrovich 12 Stein, Michael R. 10 Stepanov, Alexeĭ Vladimirovich 9 Sinchuk, Sergeĭ Sergeevich 8 Dennis, Roger Keith 8 Hazrat, Roozbeh 8 Luzgarev, A. Yu. 7 Tang, Guoping 5 Gao, Yubin 5 Magurn, Bruce A. 5 Oliver, Bob 5 Zhang, Zuhong 4 Bunina, Elena Igor’evna 4 Chen, Hong 4 Stavrova, Anastasia K. 4 Van der Kallen, Wilberd 3 Abe, Eiichi 3 Gvozdevsky, Pavel 3 Ladra González, Manuel 3 Lavrenov, Andrei V. 3 Rapinchuk, Igor A. 3 Vaserstein, Leonid N. 2 Alperin, Roger Charles 2 Arias, Daniel 2 Bak, Anthony 2 Casas Miras, José Manuel 2 Hurley, James F. 2 Hurrelbrink, Jurgen 2 Kahn, Bruno 2 Kassabov, Martin 2 Keune, Frans 2 Khmaladze, Emzar 2 Kuku, Aderemi O. 2 Liu, Hang 2 Maazen, Hendrik 2 Plotkin, Eugene 2 Rapinchuk, Andrei S. 2 Smolensky, Andrei 2 Stienstra, Jan 2 Strooker, Jan Rustom 2 Suslin, Andreĭ Aleksandrovich 2 Swan, Richard Gordon 1 Aisbett, Janet E. 1 Aleksandrov, A. V. 1 Anan’evskii, A. S. 1 Artamonov, Vyacheslav Aleksandrovich 1 Atamanova, M. M. 1 Basu, Rabeya 1 Batalkin, K. O. 1 Behr, Helmut 1 Benson, David John 1 Beyl, F. Rudolf 1 Bouc, Serge 1 Bovdi, Adalbert 1 Bryukhanov, Oleg V. 1 Bunke, Ulrich 1 Campagnolo, Caterina 1 Capdeboscq, Inna 1 Car, Mireille 1 Clauwens, F. J.-B. J. 1 Das, Mrinal Kanti 1 Dhorajia, Alpesh M. 1 Dundas, Bjørn Ian 1 Dunwoody, Martin John 1 Evans, Martin J. 1 Farb, Benson 1 Frame, Michael Lee 1 Freitag, Eberhard 1 García-Martínez, Xabier 1 Gavrilovich, Mikhaĭl R. 1 Gersten, Stephen M. 1 Giffen, Charles H. 1 Ginot, Grégory 1 Golubkov, Artem Yu. 1 Gros, Michel 1 Grunewald, Fritz J. 1 Guin, Daniel 1 Hiller, Howard Lyn 1 Hoi, Tran Ngoc 1 Hutchinson, Kevin 1 Inassaridze, Nikoloz 1 Jajodia, Sushil 1 Jardine, John Frederick 1 Kassel, Christian 1 Keating, Michael E. 1 Kerz, Moritz C. 1 Keshari, Manoj Kumar 1 Kolster, Manfred 1 Krishna, Amalendu 1 Krusemeyer, Mark I. 1 Krylyuk, Yaroslav S. 1 Kurihara, Masato 1 Kwasik, Sławomir 1 Laubenbacher, Reinhard C. 1 Levine, Marc Noel 1 Lines, Daniel 1 Loday, Jean-Louis 1 Lubotzky, Alexander 1 Magid, Andy Roy 1 Manning, Jason Fox ...and 57 more Authors
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### Cited in 42 Serials

 30 Journal of Pure and Applied Algebra 29 Journal of Algebra 24 Journal of Mathematical Sciences (New York) 20 St. Petersburg Mathematical Journal 8 Communications in Algebra 7 Inventiones Mathematicae 7 Journal of Soviet Mathematics 6 Mathematische Annalen 5 Advances in Mathematics 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 5 Bulletin of the American Mathematical Society 3 Annales de l’Institut Fourier 3 Tôhoku Mathematical Journal. Second Series 3 Journal of Group Theory 3 Algebraic & Geometric Topology 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Acta Applicandae Mathematicae 2 $$K$$-Theory 2 International Journal of Algebra and Computation 2 Documenta Mathematica 2 Transformation Groups 2 Journal of $$K$$-Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Archiv der Mathematik 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Transactions of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Vestnik St. Petersburg University. Mathematics 1 Algebra Colloquium 1 Geometry & Topology 1 Trudy Instituta Matematiki 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Algebra and its Applications 1 Proceedings of the Steklov Institute of Mathematics
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### Cited in 20 Fields

 114 Group theory and generalizations (20-XX) 70 $$K$$-theory (19-XX) 58 Category theory; homological algebra (18-XX) 38 Associative rings and algebras (16-XX) 30 Commutative algebra (13-XX) 17 Number theory (11-XX) 17 Algebraic geometry (14-XX) 12 Nonassociative rings and algebras (17-XX) 10 Manifolds and cell complexes (57-XX) 8 Algebraic topology (55-XX) 5 Topological groups, Lie groups (22-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX)