# Mathematician:John Griggs Thompson

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## Contents

## Mathematician

American mathematician noted for his work in the field of finite groups.

## 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.

## 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**: 775 – 1029) (with Walter Feit) - 1964:
*Normal $p$-complements for finite groups*(*Journal of Algebra***Vol. 1**: 43 – 46) - 1966:
*Factorizations of $p$-solvable groups*(*Pacific Journal of Mathematics***Vol. 16**: 371 – 372) - 1969:
*A replacement theorem for $p$-groups and a conjecture*(*Journal of Algebra***Vol. 13**: 149 – 151) - 1971:
*Quadratic pairs*(*Actes du Congrès International des Mathématiciens***Vol. 1**: 375 – 376)