Mathematician:John Griggs Thompson
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Mathematician
American mathematician noted for his work in the field of finite groups.
Fields Medal
John Griggs Thompson was awarded a Fields Medal in $\text {1970}$ at the International Congress of Mathematicians in Nice, France:
- Proved jointly with Walter Feit that all non-cyclic finite simple groups have even order. The extension of this work by Thompson determined the minimal simple finite groups, that is, the simple finite groups whose proper subgroups are solvable.
Wolf Prize
John Griggs Thompson was awarded a Wolf Prize for Mathematics in $\text {1992}$:
- For his profound contributions to all aspects of finite group theory and connections with other branches of mathematics.
Abel Prize
John Griggs Thompson was awarded an Abel Prize with Jacques Tits in $\text {2008}$:
- For their profound achievements in algebra and in particular for shaping modern group theory.
Nationality
American
History
- Born: 13 October 1932 in Ottawa, Kansas, USA
Theorems and Definitions
- Feit-Thompson Conjecture (with Walter Feit)
- Feit-Thompson Theorem (with Walter Feit)
- McKay-Thompson Series (with John McKay)
- Quadratic Pair
- Thompson Factorization
- Thompson Order Formula
- Thompson Subgroup
- Thompson Transitivity Theorem
- Thompson Uniqueness Theorem
Results named for John Griggs Thompson can be found here.
Definitions of concepts named for John Griggs Thompson can be found here.
Publications
- 1959: A Proof that a Finite Group with a Fixed-Point-Free Automorphism of Prime Order is Nilpotent
- 1963: Solvability of groups of odd order (Pacific Journal of Mathematics Vol. 13: pp. 775 – 1029) (with Walter Feit)
- 1964: Normal $p$-complements for finite groups (Journal of Algebra Vol. 1: pp. 43 – 46)
- 1966: Factorizations of $p$-solvable groups (Pacific Journal of Mathematics Vol. 16: pp. 371 – 372)
- 1969: A replacement theorem for $p$-groups and a conjecture (Journal of Algebra Vol. 13: pp. 149 – 151)
- 1971: Quadratic pairs (Actes du Congrès International des Mathématiciens Vol. 1: pp. 375 – 376)