Karl W. Gruenberg | Academic Influence

Karl W. Gruenberg's AcademicInfluence.com Rankings

Karl W. Gruenberg

Mathematics

#3448

World Rank

#5087

Historical Rank

Measure Theory

#2484

World Rank

#2985

Historical Rank

mathematics Degrees

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Mathematics

Karl W. Gruenberg's Degrees

PhD Mathematics University of Manchester

Why Is Karl W. Gruenberg Influential?

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According to Wikipedia, Karl W. Gruenberg was a British mathematician who specialised in group theory, in particular with the cohomology theory of groups. Education and career At the age of eleven, Gruenberg was one of the many Jewish children sent from Austria to Great Britain as part of the Kindertransport in 1939. Most of the Kindertransport children never saw their parents again but Karl was lucky and his mother soon joined him, and they moved to London in 1943 where he entered Kilburn Grammar School. In 1946 he won a scholarship to study mathematics at Magdalene College, Cambridge, where he received a BA degree in 1950

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Karl W. Gruenberg's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Residual Properties of Infinite Soluble Groups (1957) (445)
Cohomological topics in group theory (1970) (294)
Relation modules of finite groups (1976) (133)
LOCAL REPRESENTATION THEORY (Cambridge Studies in Advanced Mathematics 11) (1988) (128)
Two theorems on Engel groups (1953) (97)
Category Theory, Homology Theory and their Applications II (1969) (94)
The Engel elements of a soluble group (1959) (85)
Decomposition of the Augmentation Ideal and of the Relation Modules of a Finite Group (1975) (78)
Complete cohomological functors on groups (1987) (75)
Some Theorems on Commutative Matrices (1951) (67)
Projective Profinite Groups (1967) (59)
The upper central series in soluble groups (1961) (42)
A Local Approach to Chinburg's Root Number Conjecture (1999) (37)
The presentation rank of a direct product of finite groups (1974) (37)
The engel structure of linear groups (1966) (37)
The collected works of Philip Hall (1988) (36)
Resolutions By Relations (1960) (33)
The residual nilpotence of certain presentations of finite groups (1962) (23)
Group theory : essays for Philip Hall (1984) (22)
ANALYTIC PRO‐p GROUPS (London Mathematical Society Lecture Note Series 157) (1993) (18)
GROUPS WITH THE SAME LOWER CENTRAL SEQUENCE AS A RELATIVELY FREE GROUP. I THE GROUPS (2010) (17)
Free abelianised extensions of finite groups (1979) (16)
The Universal Coefficient Theorem in the Cohomology of Groups (1968) (14)
Some reflections on cohomological dimension and freeness (1967) (14)
Some cohomological topics in group theory (1968) (14)
Generation gaps and abelianized defects of free products (2007) (14)
Capitulation and transfer kernels (2000) (14)
The hypercenter of linear groups (1968) (13)
The Augmentation Terminals of Certain Locally Finite Groups (1972) (13)
Galois Invariants for Units (1995) (9)
Decomposition of the Relation Modules of a Finite Group (1976) (9)
Extension categories of groups and modules, I: Essential covers (1977) (8)
Galois invariants for local units (1996) (8)
Partial Euler Characteristics of Finite Groups and the Decomposition of Lattices (1984) (7)
On the absence of cohomological finiteness in wreath products (1998) (7)
The partial Euler characteristics of the direct powers of a finite group (1980) (7)
Proficient presentations and direct products of finite groups (1999) (7)
Homotopy classes of truncated projective resolutions (1993) (6)
Projective covers for augmentation ideals of finite groups (1975) (6)
Capitulation and Transfer Triples (2003) (5)
Extension categories of groups and modules II. Stem extensions (1980) (4)
Ring theoretic methods and finiteness conditions in infinite soluble group theory (1973) (4)
Galois invariants for S-units (1997) (4)
Minimal free resolutions of lattices over finite groups (1988) (4)
A new treatment of group extensions (1967) (4)
Commutators in associative rings (1953) (3)
Transfer kernels for finite groups II (2006) (3)
The Decomposition of Relation Modules: A Correction (1982) (3)
A note on a theorem of Burnside (1952) (2)
Kurt August Hirsch (1988) (1)
Stably free resolutions of lattices over finite groups (1990) (1)
Free Resolution Invariants for Finite Groups (2001) (1)
Review: Kenneth S. Brown, Cohomology of groups (1984) (0)
The presentation rank (1976) (0)
Index of authors, volume 170, 2007 (2007) (0)
The Gaschütz theory (1976) (0)
Affine and Projective Geometry (1977) (0)
ON MINIMAL SURFACES IN HEISENBERG GROUP (2012) (0)
Erratum to: Isomorphisms (1977) (0)
Finite p-groups (1970) (0)
Extension categories : General theory (1970) (0)
Presentations and resolutions (1970) (0)
The Geometry of Module Extensions * (2012) (0)
Categories of group extensions (1969) (0)
More cohomological machinery (1970) (0)
Decomposition of relation cores (1976) (0)
Module theoretic preliminaries (1976) (0)
Review: Urs Stammbach, Homology in group theory (1975) (0)
The isomorphism problem for cyclically pinched one-relator groups (2001) (0)
Extension categories : Finite groups (1970) (0)
More module theory (1970) (0)
Fixed point free action (1970) (0)
The cohomology and homology groups (1970) (0)
ON INDUCED MoRPHISMS OF MISLIN GENERA (2006) (0)
The higher cohomology groups and extension theory (2003) (0)
classical extension theory (1970) (0)

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