John G. Thompson | Academic Influence

John G. Thompson's AcademicInfluence.com Rankings

John G. Thompson

Mathematics

#126

World Rank

#320

Historical Rank

#52

USA Rank

Group Theory

#7

World Rank

#10

Historical Rank

#3

USA Rank

Algebra

#9

World Rank

#19

Historical Rank

#4

USA Rank

Measure Theory

#2188

World Rank

#2633

Historical Rank

#625

USA Rank

mathematics Degrees

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Mathematics

John G. Thompson's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics Princeton University

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Why Is John G. Thompson Influential?

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According to Wikipedia, John Griggs Thompson is an American mathematician at the University of Florida noted for his work in the field of finite groups. He was awarded the Fields Medal in 1970, the Wolf Prize in 1992, and the Abel Prize in 2008.

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John G. Thompson'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

Nonsolvable finite groups all of whose local subgroups are solvable, IV (1968) (520)
FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER. (1959) (356)
SOLVABILITY OF GROUPS OF ODD ORDER (2012) (315)
A Generalization of a Theorem of (1973) (221)
Good self dual codes exist (1972) (124)
Normal p-complements for finite groups (1964) (121)
Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function (1979) (111)
Finite Groups and Modular Functions (1979) (92)
On the Existence of a Projective Plane of Order 10 (1973) (90)
Finite Groups which Contain a Selfcentralizing Subgroup of Order 3 (1962) (85)
The H-problem and the structure of H-groups (1959) (70)
Finite groups of genus zero (1990) (64)
Normal p-complements and irreducible characters (1970) (62)
Automorphisms of solvable groups (1964) (62)
On a class of finite simple groups of Ree (1966) (61)
GROUPS WHICH HAVE A FAITHFUL REPRESENTATION OF DEGREE LESS THAN .p 1=2/ (1961) (48)
Cyclic self-dual codes (1983) (47)
Vertices and sources (1967) (46)
Normalp-complements for finite groups (1959) (41)
A conjugacy theorem for E8 (1976) (39)
Some finite groups which appear as Gal L/K (1984) (39)
Two element generation of the projective unimodular group (1958) (37)
Bounds for orders of maximal subgroups (1970) (37)
Hall subgroups of the symmetric groups (1966) (36)
On Brauer'sk(B)-Problem (1996) (34)
Planes of Order 10 Do Not Have a Collineation of Order 5 (1980) (33)
17 Does Not Divide the Order of the Group of a (72, 36, 16) Doubly Even Code (1982) (33)
Finite groups and even lattices (1976) (32)
Some finite groups which appear as gal L/K, where K ⊆ Q(μn) (1984) (31)
A SOLVABILITY CRITERION FOR FINITE GROUPS AND SOME CONSEQUENCES. (1962) (30)
A special class of non-solvable groups (1959) (29)
Finite groups in which the centralizer of any non-identity element is nilpotent (1960) (28)
A replacement theorem for p-groups and a conjecture (1969) (25)
On finite simple groups whose Sylow 2-subgroups have no normal elementary subgroups of order 8 (1970) (23)
Invariants of finite groups (1981) (21)
Factorizations of p-solvable groups (1966) (21)
A combinatorial problem in the symmetric group (1966) (17)
Fixed points ofp-groups acting onp-groups (1964) (17)
An example of core-free quasinormal subgroups ofp-groups (1967) (16)
2-signalizers of finite groups. (1964) (15)
Defect groups are sylow intersections (1967) (14)
Hecke operators and non congruence subgroups (1989) (13)
Finite-dimensional representations of free products with an amalgamated subgroup (1981) (12)
Symplectic groups as Galois groups (1998) (10)
A non-duality theorem for finite groups (1970) (10)
Weakly closed direct factors of Sylow subgroups. (1968) (10)
Toward a characterization of E2∗(q) (1967) (10)
Sums of Squares and the Fields QAn (1995) (9)
Composition factors of rational finite groups (2008) (9)
The Nonexistence of a Certain Steiner System (1981) (8)
Further results on p-automorphic p-groups (1962) (8)
Note on H(4) (1994) (7)
Rational functions associated to presentations of finite groups (1981) (7)
Uniqueness of the Fischer-Griess Monster (1979) (7)
Minimal Symmetric Differences of Lines in Projective Planes (2013) (7)
The monster. (1979) (6)
Incidence Matrices of Finite Projective Planes and Their Eigenvalues (1997) (6)
On a question of L. J. Paige (1967) (6)
Toward a characterization of E∗2(q), III (1977) (6)
Some Generalized Characters (1996) (5)
Toward a characterization of E2p*(q), II (1972) (5)
Geometric properties of the zeta function (2012) (5)
Power Maps and Completions of Free Groups and of the Modular Group (1997) (5)
Isomorphisms induced by automorphisms (1973) (5)
Combinatorics: Ovals in a projective plane of order 10 (1981) (4)
The Divisor Matrix, Dirichlet Series, and SL(2, Z) (2007) (4)
Algebraic numbers associated to certain punctured spheres (1986) (4)
Some uniserial representations of certain special linear groups (2014) (3)
4-Punctured Spheres (1995) (2)
Groups of genus zero and certain rational functions (1990) (2)
Envelopes and $p$-signalizers of finite groups (1969) (1)
Groups St Andrews 1989: Galois groups (1991) (1)
Centralizers of elements inp-groups (1967) (1)
Unipotent Elements, Standard Involutions, and the Divisor Matrix (2008) (1)
Fricke, free groups and SL2 (1989) (1)
Note on realizable sequences of partitions (1994) (1)
Algebraic integers all of whose algebraic conjugates have the same absolute value (1993) (1)
A characterization of some alternating group by its order and special conjugacy class sizes (2020) (0)
Groups, Combinatorics & Geometry: Discrete groups and, Galois theory (1992) (0)
Sylow 2-subgroups of simple groups (1968) (0)
TWO RESULTS ABOUT FINITE GROUPS (2010) (0)
Cyclic Self-Dual Codes1 (1983) (0)
Defining a Zeroth Homotopy Invariant for Graphs (2020) (0)

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