Jonathan Lazare Alperin | Academic Influence

Jonathan Lazare Alperin's AcademicInfluence.com Rankings

Jonathan Lazare Alperin

Mathematics

#2450

World Rank

#3783

Historical Rank

#971

USA Rank

Measure Theory

#2879

World Rank

#3424

Historical Rank

#829

USA Rank

mathematics Degrees

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Mathematics

Jonathan Lazare Alperin's Degrees

PhD Mathematics University of California, Berkeley

Why Is Jonathan Lazare Alperin Influential?

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According to Wikipedia, Jonathan Lazare Alperin is an American mathematician specializing in the area of algebra known as group theory. He is notable for his work in group theory which has been cited over 500 times according to the Mathematical Reviews. The Alperin–Brauer–Gorenstein theorem is named after him.

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Jonathan Lazare Alperin'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

Groups and Representations (1995) (269)
Local Methods in Block Theory (1979) (193)
Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups. (1970) (168)
Representations, resolutions and Quillen's dimension theorem (1981) (149)
Weights for finite groups (1987) (140)
Sylow intersections and fusion (1967) (129)
Weights for symmetric and general linear groups (1990) (128)
Local representation theory: Index (1986) (121)
Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (1993) (96)
THE MULTIPLICATORS OF CERTAIN SIMPLE GROUPS (1966) (87)
Periodicity in groups (1977) (67)
THE MAIN PROBLEM OF BLOCK THEORY (1976) (67)
Diagrams for modules (1980) (59)
Projective modules for SL(2, 2n) (1979) (54)
LARGE ABELIAN SUBGROUPS OF p-GROUPS (1965) (53)
A construction of endo-permutation modules (2001) (51)
Local representation theory: Semisimple modules (1986) (49)
Groups with finitely many automorphisms (1962) (48)
On conjugacy classes of p-elements (1971) (39)
A Classification Of n -Abelian Groups (1969) (38)
AUTOMORPHISMS OF SOLVABLE GROUPS (1962) (35)
Varieties and elementary Abelian groups (1982) (34)
Centralizers of abelian normal subgroups of p-groups (1964) (33)
Source Algebras and Source Modules (2001) (23)
FINITE SIMPLE GROUPS II (1982) (22)
Limits of Abelian Subgroups of Finitep-Groups (1998) (21)
On a special class of regular $p$-groups (1963) (20)
Block theory with modules (1980) (19)
Unipotent Conjugacy in General Linear Groups (2006) (19)
Lifting endo-trivial modules (2001) (17)
Projective Modules, Filtrations and Cartan Invariants (1984) (17)
Static modules and non-normal Clifford theory (1990) (16)
The Green correspondence and normal subgroups (1986) (16)
System normalizers and Carter subgroups (1964) (16)
On a theorem of Manning (1965) (15)
A vanishing theorem for cohomology (1972) (15)
Local representation theory: Blocks (1986) (13)
A lie approach to finite groups (1990) (13)
Automorphisms of Quotients of Symmetric Groups (1996) (13)
Sylow 2-Subgroups of 2-Rank Three (1973) (12)
The exponent and the projective representations of a finite group (1967) (12)
Transfer and fusion in finite groups (1967) (12)
On a theorem of Mislin (2006) (11)
Resolutions and periodicity (1973) (11)
Periodicity of Weyl modules for SL(2, q) (1982) (10)
LOEWY STRUCTURE OF PERMUTATION MODULES FOR p-GROUPS (1988) (10)
On the Brauer correspondence (1977) (9)
The General Linear Group (1995) (9)
Projective modules and tensor products (1976) (8)
Up and down fusion (1974) (7)
On Simple Modules for SL(2, q) (1993) (7)
Partial Steinberg modules for finite groups of Lie type (1993) (7)
The Green Correspondence and Brauer's Characterization of Characters (1981) (6)
Normalizers of system normalizers (1964) (6)
Bessel Functions on Finite Groups (1995) (6)
On fours groups (1972) (5)
The construction and characterization of some classes of finite groups (1967) (3)
On the center of a Hecke algebra (2008) (3)
The Extended ZJ-Theorem (1973) (2)
A preprojective module which is not strongly preprojective (1981) (2)
Quadratic fours groups (1977) (2)
Review: B. Huppert and N. Blackburn, Finite groups, and B. Huppert and N. Blackburn, Finite groups, and Michio Suzuki, Group theory (1984) (2)
Finite groups viewed locally (1977) (2)
Rudiments of Group Theory (1995) (1)
Local representation theory: Projective modules (1986) (1)
Groups '93 Galway / St Andrews: Geometry, Steinberg representations and complexity (1995) (1)
A convergence theorem for factorizable groups (1968) (1)
Coverings and coverings (1994) (1)
The "monster" proof. (1980) (0)
Current Trends in Representation Theory of Finite Groups (2003) (0)
Book Review: Finite groups@@@Book Review: Finite groups@@@Book Review: Group theory (1984) (0)
Review: Michio Suzuki, Group theory. II (1987) (0)
Mathematical "invasion". (1980) (0)
Guide to Further Reading (2019) (0)
The Green correspondence and the Brauer lift (1986) (0)
Local representation theory: Preface (1986) (0)
Local representation theory: Modules and subgroups (1986) (0)
Groups and Symmetry (1978) (0)
Ap-group counterexample (1962) (0)
Trees and Brauer trees (1990) (0)
The "Monster" Proof (1980) (0)
Review: B. M. Puttaswamaiah and John D. Dixon, Modular representations of finite groups (1978) (0)
Local representation theory: Bibliography (1986) (0)
CENTRALIZERS OF ABELIAN, NORMAL SUBGROUPS OF HYPERCYCLIC GROUPS (2004) (0)
Mathematical "Invasion" (1980) (0)

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