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Gruenberg, Karl Walter

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Author ID: gruenberg.karl-walter Recent zbMATH articles by "Gruenberg, Karl Walter"
Published as: Gruenberg, K. W.; Gruenberg, Karl W.; Gruenberg, K.; Gruenberg, Karl
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 64 Publications since 1951, including 4 Books
1 Contribution as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 13 Co-Authors with 29 Joint Publications
269 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 1,236 times in 853 Documents Cited by Year
Algebraic number theory. Zbl 0153.07403
257
1967
Residual properties of infinite soluble groups. Zbl 0077.02901
Gruenberg, K. W.
223
1957
Cohomological topics in group theory. Zbl 0205.32701
Gruenberg, K. W.
188
1970
The Engel elements of a soluble group. Zbl 0092.02102
Gruenberg, K. W.
49
1959
Complete cohomological functors on groups. Zbl 0656.16013
Gedrich, T. V.; Gruenberg, K. W.
47
1987
Two theorems on Engel groups. Zbl 0050.01901
Gruenberg, K. W.
39
1953
Relation modules of finite groups. Expository lectures from the CBMS regional conference held at the University of Wisconsin-Parkside, July 22-26, 1974. Zbl 0327.20019
Gruenberg, Karl W.
38
1976
Some theorems on commutative matrices. Zbl 0043.25201
Drazin, M. P.; Dungey, J. W.; Gruenberg, K. W.
36
1951
Decomposition of the augmentation ideal and of the relation modules of a finite group. Zbl 0313.20004
Gruenberg, K. W.; Roggenkamp, Klaus W.
34
1975
Projective profinite groups. Zbl 0178.02703
Gruenberg, K. W.
33
1967
The upper central series in soluble groups. Zbl 0244.20028
Gruenberg, K. W.
27
1961
The Engel structure of linear groups. Zbl 0138.26004
Gruenberg, K. W.
23
1966
The residual nilpotence of certain presentations of finite groups. Zbl 0111.02804
Gruenberg, Karl
21
1962
The presentation rank of a direct product of finite groups. Zbl 0293.20033
Cossey, John; Gruenberg, K. W.; Kovács, L. G.
18
1974
Resolutions by relations. Zbl 0101.01601
Gruenberg, K. W.
18
1960
Decomposition of the relation modules of a finite group. Zbl 0325.20015
Gruenberg, K. W.; Roggenkamp, Klaus W.
17
1976
Free abelianised extensions of finite groups. Zbl 0513.20039
Gruenberg, K. W.
15
1979
Groups of non-zero presentation rank. Zbl 0358.20045
Gruenberg, K. W.
15
1976
Linear geometry. Zbl 0146.42001
Gruenberg, K. W.; Weir, A. J.
13
1967
A local approach to Chinburg’s root number conjecture. Zbl 1041.11075
Gruenberg, K. W.; Ritter, J.; Weiss, A.
12
1999
Über die Relationenmoduln einer endlichen Gruppe. Zbl 0213.30303
Gruenberg, K. W.
9
1970
The augmentation terminals of certain locally finite groups. Zbl 0247.20009
Gruenberg, K. W.; Roseblade, J. E.
9
1972
The hypercenter of linear groups. Zbl 0165.04101
Gruenberg, K. W.
8
1968
Some reflections on cohomological dimension and freeness. Zbl 0166.29403
Baublag, G.; Gruenberg, K. W.
7
1967
Linear geometry. 2nd ed. Zbl 0349.50001
Gruenberg, K. W.; Weir, A. J.
7
1977
Extension categories of groups and modules. I: Essential covers. Zbl 0376.16028
Gruenberg, K. W.; Roggenkamp, Klaus W.
6
1977
Capitulation and transfer kernels. Zbl 1009.11061
Gruenberg, K. W.; Weiss, A.
6
2000
The universal coefficient theorem in the cohomology of groups. Zbl 0155.05603
Gruenberg, K. W.
5
1968
Galois invariants for local units. Zbl 0858.11060
Gruenberg, K. W.; Weiss, A.
5
1996
A new treatment of group extensions. Zbl 0178.01704
Gruenberg, K. W.
4
1967
Proficient presentations and direct products of finite groups. Zbl 0961.20029
Gruenberg, K. W.; Kovács, L. G.
4
1999
Galois invariants for units. Zbl 0828.11062
Gruenberg, K. W.; Weiss, A.
4
1995
Projective covers for augmentation ideals of finite groups. Zbl 0313.20003
Gruenberg, K. W.; Roggenkamp, Klaus W.
4
1975
Extension categories of groups and modules. II: Stem extensions. Zbl 0476.16023
Gruenberg, K. W.; Roggenkamp, Klaus W.
3
1980
Generation gaps and Abelianized defects of free products. Zbl 1160.20002
Gruenberg, Karl W.; Linnell, Peter A.
3
2008
The partial Euler characteristics of the direct powers of a finite group. Zbl 0424.20045
Gruenberg, K. W.
3
1980
Transfer kernels for finite groups. Zbl 1111.20011
Gruenberg, K. W.; Weiss, A.
3
2006
Ring theoretic methods and finiteness conditions in infinite soluble group theory. Zbl 0262.20027
Gruenberg, K. W.
3
1973
The decomposition of relation modules: A correction. Zbl 0451.20004
Gruenberg, K. W.; Roggenkamp, Klaus W.
2
1981
Capitulation and transfer triples. Zbl 1055.11069
Gruenberg, K. W.; Weiss, A.
2
2003
On the absence of cohomological finiteness in wreath products. Zbl 0922.20035
Baumslag, Gilbert; Bridson, Martin R.; Gruenberg, Karl W.
2
1998
Minimal free resolutions of lattices over finite groups. Zbl 0682.20006
Gruenberg, K. W.; Linnell, P. A.
2
1988
Group theory. Essays for Philip Hall. Zbl 0547.00016
2
1984
Reinhold Baer. Zbl 0459.01011
Gruenberg, K. W.
1
1981
Partial Euler characteristics of finite groups and the decomposition of lattices. Zbl 0507.20004
Gruenberg, K. W.
1
1984
Homotopy classes of truncated projective resolutions. Zbl 0806.55006
Gruenberg, K. W.
1
1993
Genera of envelopes. Zbl 0815.20006
Gruenberg, K. W.; Weiss, A.
1
1993
Transfer kernels for finite groups. II. Zbl 1228.20007
Gruenberg, K. W.; Weiss, A.
1
2011
On Chinburg’s root number conjecture. Zbl 0929.11054
Gruenberg, K. W.; Ritter, J.; Weiss, A.
1
1998
A note on a theorem of Burnside. Zbl 0046.02303
Gruenberg, K. W.
1
1952
Commutators in associative rings. Zbl 0052.03001
Drazin, M. P.; Gruenberg, K. W.
1
1953
Galois invariants for \(S\)-units. Zbl 0884.11045
Gruenberg, K. W.; Weiss, A.
1
1997
Free resolution invariants for finite groups. Zbl 0986.20005
Gruenberg, K. W.
1
2001
Transfer kernels for finite groups. II. Zbl 1228.20007
Gruenberg, K. W.; Weiss, A.
1
2011
Generation gaps and Abelianized defects of free products. Zbl 1160.20002
Gruenberg, Karl W.; Linnell, Peter A.
3
2008
Transfer kernels for finite groups. Zbl 1111.20011
Gruenberg, K. W.; Weiss, A.
3
2006
Capitulation and transfer triples. Zbl 1055.11069
Gruenberg, K. W.; Weiss, A.
2
2003
Free resolution invariants for finite groups. Zbl 0986.20005
Gruenberg, K. W.
1
2001
Capitulation and transfer kernels. Zbl 1009.11061
Gruenberg, K. W.; Weiss, A.
6
2000
A local approach to Chinburg’s root number conjecture. Zbl 1041.11075
Gruenberg, K. W.; Ritter, J.; Weiss, A.
12
1999
Proficient presentations and direct products of finite groups. Zbl 0961.20029
Gruenberg, K. W.; Kovács, L. G.
4
1999
On the absence of cohomological finiteness in wreath products. Zbl 0922.20035
Baumslag, Gilbert; Bridson, Martin R.; Gruenberg, Karl W.
2
1998
On Chinburg’s root number conjecture. Zbl 0929.11054
Gruenberg, K. W.; Ritter, J.; Weiss, A.
1
1998
Galois invariants for \(S\)-units. Zbl 0884.11045
Gruenberg, K. W.; Weiss, A.
1
1997
Galois invariants for local units. Zbl 0858.11060
Gruenberg, K. W.; Weiss, A.
5
1996
Galois invariants for units. Zbl 0828.11062
Gruenberg, K. W.; Weiss, A.
4
1995
Homotopy classes of truncated projective resolutions. Zbl 0806.55006
Gruenberg, K. W.
1
1993
Genera of envelopes. Zbl 0815.20006
Gruenberg, K. W.; Weiss, A.
1
1993
Minimal free resolutions of lattices over finite groups. Zbl 0682.20006
Gruenberg, K. W.; Linnell, P. A.
2
1988
Complete cohomological functors on groups. Zbl 0656.16013
Gedrich, T. V.; Gruenberg, K. W.
47
1987
Group theory. Essays for Philip Hall. Zbl 0547.00016
2
1984
Partial Euler characteristics of finite groups and the decomposition of lattices. Zbl 0507.20004
Gruenberg, K. W.
1
1984
The decomposition of relation modules: A correction. Zbl 0451.20004
Gruenberg, K. W.; Roggenkamp, Klaus W.
2
1981
Reinhold Baer. Zbl 0459.01011
Gruenberg, K. W.
1
1981
Extension categories of groups and modules. II: Stem extensions. Zbl 0476.16023
Gruenberg, K. W.; Roggenkamp, Klaus W.
3
1980
The partial Euler characteristics of the direct powers of a finite group. Zbl 0424.20045
Gruenberg, K. W.
3
1980
Free abelianised extensions of finite groups. Zbl 0513.20039
Gruenberg, K. W.
15
1979
Linear geometry. 2nd ed. Zbl 0349.50001
Gruenberg, K. W.; Weir, A. J.
7
1977
Extension categories of groups and modules. I: Essential covers. Zbl 0376.16028
Gruenberg, K. W.; Roggenkamp, Klaus W.
6
1977
Relation modules of finite groups. Expository lectures from the CBMS regional conference held at the University of Wisconsin-Parkside, July 22-26, 1974. Zbl 0327.20019
Gruenberg, Karl W.
38
1976
Decomposition of the relation modules of a finite group. Zbl 0325.20015
Gruenberg, K. W.; Roggenkamp, Klaus W.
17
1976
Groups of non-zero presentation rank. Zbl 0358.20045
Gruenberg, K. W.
15
1976
Decomposition of the augmentation ideal and of the relation modules of a finite group. Zbl 0313.20004
Gruenberg, K. W.; Roggenkamp, Klaus W.
34
1975
Projective covers for augmentation ideals of finite groups. Zbl 0313.20003
Gruenberg, K. W.; Roggenkamp, Klaus W.
4
1975
The presentation rank of a direct product of finite groups. Zbl 0293.20033
Cossey, John; Gruenberg, K. W.; Kovács, L. G.
18
1974
Ring theoretic methods and finiteness conditions in infinite soluble group theory. Zbl 0262.20027
Gruenberg, K. W.
3
1973
The augmentation terminals of certain locally finite groups. Zbl 0247.20009
Gruenberg, K. W.; Roseblade, J. E.
9
1972
Cohomological topics in group theory. Zbl 0205.32701
Gruenberg, K. W.
188
1970
Über die Relationenmoduln einer endlichen Gruppe. Zbl 0213.30303
Gruenberg, K. W.
9
1970
The hypercenter of linear groups. Zbl 0165.04101
Gruenberg, K. W.
8
1968
The universal coefficient theorem in the cohomology of groups. Zbl 0155.05603
Gruenberg, K. W.
5
1968
Algebraic number theory. Zbl 0153.07403
257
1967
Projective profinite groups. Zbl 0178.02703
Gruenberg, K. W.
33
1967
Linear geometry. Zbl 0146.42001
Gruenberg, K. W.; Weir, A. J.
13
1967
Some reflections on cohomological dimension and freeness. Zbl 0166.29403
Baublag, G.; Gruenberg, K. W.
7
1967
A new treatment of group extensions. Zbl 0178.01704
Gruenberg, K. W.
4
1967
The Engel structure of linear groups. Zbl 0138.26004
Gruenberg, K. W.
23
1966
The residual nilpotence of certain presentations of finite groups. Zbl 0111.02804
Gruenberg, Karl
21
1962
The upper central series in soluble groups. Zbl 0244.20028
Gruenberg, K. W.
27
1961
Resolutions by relations. Zbl 0101.01601
Gruenberg, K. W.
18
1960
The Engel elements of a soluble group. Zbl 0092.02102
Gruenberg, K. W.
49
1959
Residual properties of infinite soluble groups. Zbl 0077.02901
Gruenberg, K. W.
223
1957
Two theorems on Engel groups. Zbl 0050.01901
Gruenberg, K. W.
39
1953
Commutators in associative rings. Zbl 0052.03001
Drazin, M. P.; Gruenberg, K. W.
1
1953
A note on a theorem of Burnside. Zbl 0046.02303
Gruenberg, K. W.
1
1952
Some theorems on commutative matrices. Zbl 0043.25201
Drazin, M. P.; Dungey, J. W.; Gruenberg, K. W.
36
1951
all top 5

Cited by 717 Authors

23 Baumslag, Gilbert
16 Gruenberg, Karl Walter
15 Sokolov, Evgeny Viktorovich
14 Passi, Inder Bir Singh
14 Shumyatsky, Pavel
14 Wehrfritz, Bertram A. F.
13 Lubotzky, Alexander
13 Mikhaĭlov, Roman Valer’evich
12 Robinson, Derek J. S.
12 Tumanova, E. A.
11 Lucchini, Andrea
11 Traustason, Gunnar
10 Azarov, Dmitriĭ Nikolaevich
9 Linnell, Peter Arnold
8 Gupta, Narain Datt
8 Guralnick, Robert Michael
8 Khosravi, Behrooz
8 Nickel, Andreas
8 Roggenkamp, Klaus W.
8 Webb, Peter J.
7 Asadollahi, Javad J.
7 Emmanouil, Ioannis
7 Lichtman, Alexander I.
7 Salarian, Shokrollah
7 Talelli, Olympia
6 Detomi, Eloisa
6 Kimmerle, Wolfgang
6 Schmid, Peter P.
5 Acciarri, Cristina
5 Hartley, Brian
5 Heineken, Hermann
5 Hill, Richard D.
5 Kropholler, Peter H.
5 Morigi, Marta
5 Puglisi, Orazio
5 Remeslennikov, Vladimir Nikanorovich
5 Ribes, Luis
5 Sehgal, Sudarshan Kumar
4 Bachmuth, Seymour
4 Brown, Kenneth Alexander
4 Brown, Ronald
4 Gildenhuys, Dion
4 Griess, Robert L. jun.
4 Guo, Jun
4 Hajizamani, Ali
4 Hurley, Ted
4 Jo, Jang Hyun
4 Johnson, Francis E. A.
4 Kassabov, Martin
4 Kovács, László György
4 Lafuente, Julio P.
4 Leinen, Felix
4 Lennox, John C.
4 Noce, Marialaura
4 Noskov, Guennadi A.
4 Peng, Tsu Ann
4 Shapiro, Helene Marian
4 Stammbach, Urs
4 Stonehewer, Stewart Edward
4 Weiss, Alfred R.
3 Abdollahi, Alireza
3 Aschenbrenner, Matthias
3 Baer, Reinhold
3 Bahlekeh, Abdolnaser
3 Bardakov, Valeriĭ Georgievich
3 Cossey, John
3 Dembegioti, Fotini
3 Dyer, Eldon
3 Endimioni, Gérard
3 Evans, Martin J.
3 Fernández-Alcober, Gustavo A.
3 Friedl, Stefan
3 Gao, Suogang
3 Gol’tsov, D. V.
3 Grunewald, Fritz J.
3 Guaschi, John
3 Gupta, Chander Kanta
3 Haran, Dan
3 Held, Dieter
3 Herfort, Wolfgang N.
3 Huebschmann, Johannes
3 Jarden, Moshe
3 Johnson, David Lawrence
3 Juhász, Arye
3 Kantor, William M.
3 Khosravi, Amir
3 Khukhro, Evgeniĭ I.
3 Lucido, Maria Silvia
3 Macedońska, Olga
3 Mann, Avinoam
3 Neumann, Peter Michael
3 Roman’kov, Vitaly Anatol’evich
3 Rozov, Alexei Vyacheslavovich
3 Schick, Thomas
3 Scott, Leonard L.
3 Segal, Daniel
3 Timoshenko, Evgeniĭ Iosifovich
3 Tortora, Antonio
3 Tretkoff, Marvin D.
3 Vermani, Lekh Raj
...and 617 more Authors
all top 5

Cited in 123 Serials

151 Journal of Algebra
94 Journal of Pure and Applied Algebra
58 Mathematische Zeitschrift
46 Communications in Algebra
44 Archiv der Mathematik
32 Linear Algebra and its Applications
28 Israel Journal of Mathematics
26 Proceedings of the American Mathematical Society
25 Transactions of the American Mathematical Society
24 Siberian Mathematical Journal
15 Mathematical Notes
12 Algebra and Logic
12 Rendiconti del Seminario Matematico della Università di Padova
11 Inventiones Mathematicae
10 Journal of Group Theory
10 Journal of the Australian Mathematical Society
9 Topology and its Applications
9 International Journal of Algebra and Computation
8 Bulletin of the Australian Mathematical Society
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Monatshefte für Mathematik
8 Groups, Geometry, and Dynamics
7 Compositio Mathematica
7 Journal of Soviet Mathematics
7 Mathematische Annalen
6 Advances in Mathematics
6 Russian Mathematics
6 Chebyshevskiĭ Sbornik
5 Algebraic & Geometric Topology
5 Bulletin of the American Mathematical Society
4 Glasgow Mathematical Journal
4 Forum Mathematicum
4 Journal of Mathematical Sciences (New York)
4 Journal of Algebra and its Applications
4 Proceedings of the Steklov Institute of Mathematics
4 International Journal of Group Theory
4 Palestine Journal of Mathematics
3 Rocky Mountain Journal of Mathematics
3 Bulletin of the London Mathematical Society
3 Czechoslovak Mathematical Journal
3 Journal of Number Theory
3 Journal für die Reine und Angewandte Mathematik
3 Journal of the American Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Algebra Colloquium
3 Finite Fields and their Applications
3 Lobachevskii Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Boletim da Sociedade Brasileira de Matemática
2 Journal of Functional Analysis
2 Manuscripta Mathematica
2 Mathematika
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Ricerche di Matematica
2 Ergodic Theory and Dynamical Systems
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal de Théorie des Nombres de Bordeaux
2 Central European Journal of Mathematics
2 Electronic Research Archive
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Algebra Universalis
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Commentarii Mathematici Helvetici
1 Computing
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal of Combinatorial Theory. Series B
1 Kodai Mathematical Journal
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Results in Mathematics
1 Systems & Control Letters
1 Acta Mathematica Hungarica
1 \(K\)-Theory
1 MCSS. Mathematics of Control, Signals, and Systems
1 IMRN. International Mathematics Research Notices
1 Journal of Global Optimization
1 L’Enseignement Mathématique. 2e Série
1 Historia Mathematica
1 Acta Mathematica Sinica. New Series
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Knot Theory and its Ramifications
1 Vestnik St. Petersburg University. Mathematics
1 Turkish Journal of Mathematics
1 The Electronic Journal of Combinatorics
...and 23 more Serials
all top 5

Cited in 42 Fields

617 Group theory and generalizations (20-XX)
128 Associative rings and algebras (16-XX)
62 Category theory; homological algebra (18-XX)
52 Manifolds and cell complexes (57-XX)
43 Number theory (11-XX)
38 Algebraic topology (55-XX)
33 Combinatorics (05-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
19 Nonassociative rings and algebras (17-XX)
18 Topological groups, Lie groups (22-XX)
17 Algebraic geometry (14-XX)
15 Commutative algebra (13-XX)
14 Field theory and polynomials (12-XX)
10 \(K\)-theory (19-XX)
9 Mathematical logic and foundations (03-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Functional analysis (46-XX)
7 Abstract harmonic analysis (43-XX)
7 Geometry (51-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 General topology (54-XX)
5 General algebraic systems (08-XX)
5 Functions of a complex variable (30-XX)
5 Systems theory; control (93-XX)
4 History and biography (01-XX)
4 Differential geometry (53-XX)
4 Numerical analysis (65-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
3 Computer science (68-XX)
3 Quantum theory (81-XX)
2 Approximations and expansions (41-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Probability theory and stochastic processes (60-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Measure and integration (28-XX)
1 Partial differential equations (35-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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