# Mathematician:Philip Hall

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## Mathematician

English mathematician active in the field of group theory.

## Nationality

English

## History

- Born: 11 April 1904, Hampstead, London, England
- Died: 30 December 1982, Cambridge, Cambridgeshire, England

## Theorems and Definitions

- Hall Polynomial
- Hall Subgroup
- Hall Divisor
- Hall-Littlewood Polynomial (with John Edensor Littlewood)
- Hall's Universal Group
- Hall's Marriage Theorem
- Hall's Theorem (Group Theory)
- Irwin-Hall Distribution (with Joseph Oscar Irwin)

Results named for **Philip Hall** can be found here.

Definitions of concepts named for **Philip Hall** can be found here.

## Publications

- 1926:
*The Isomorphisms of Abelian Groups*(incomplete) - 1928:
*A Note on Soluble Groups* - 1932:
*A Contribution to the Theory of Groups of Prime Power Order* - 1936:
*On the order of groups of automorphisms*(with Garrett Birkhoff) - 1940: All in
*Crelle's Journal*issue 182:*Verbal and Marginal Subgroups**The Classification of Prime-Power Groups**On Groups of Automorphisms**The Construction of Soluble Groups*

- 1956:
*On the p-Length of p-Soluble Groups and Reduction Theorems for Burnside's Problem*(with Graham Higman) - 1961:
*The Frattini Subgroups of Finitely Generated Groups* - 1963:
*On Non-Strictly Simple Groups*

- 1988:
*The Collected Works of Philip Hall*