Mathematician:Graham Higman

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)

Sources

• John J. O'Connor and Edmund F. Robertson: "Graham Higman": MacTutor History of Mathematics archive