# Mathematician:Graham Higman

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## Contents

## Mathematician

English mathematician active in the field of group theory.

## Nationality

English

## History

- Born: 19 Jan 1917, Louth, Lincolnshire, England
- Died: 8 April 2008, Oxford, England

## Theorems and Definitions

- Higman-Sims Group, named after Donald Gordon Higman and Charles C. Sims, but studied also by Graham Higman.
- Higman's Embedding Theorem
- Higman's Lemma
- HNN Extension (named after Graham Higman, Bernhard Hermann Neumann and Hanna Neumann)

## Publications

- 1940:
*The units of group-rings* - 1949:
*Embedding theorems for groups*(with Bernhard Neumann and Hanna Neumann) - 1956:
*On the p-Length of p-Soluble Groups and Reduction Theorems for Burnside's Problem*(with Philip Hall) - 1960:
*Enumerating $p$-Groups. $\text I$: Inequalities*(*Proc. London Math. Soc.***Ser. 3****Vol. 10**,*no. 1*: pp. 24 – 30) - 1988:
*Existentially closed groups*(with Elizabeth Scott)