# Philip Hall

English mathematician From Wikipedia, the free encyclopedia

English mathematician From Wikipedia, the free encyclopedia

**Philip Hall** FRS^{[1]} (11 April 1904 – 30 December 1982), was an English mathematician. His major work was on group theory, notably on finite groups and solvable groups.^{[2]}^{[3]}

Philip Hall | |
---|---|

Born | London, England | 11 April 1904

Died | 30 December 1982 78) Cambridge, England | (aged

Alma mater | University of Cambridge |

Known for | Hall's marriage theorem Hall polynomial Hall subgroup Hall–Littlewood polynomial |

Awards | Senior Berwick Prize (1958) Sylvester Medal (1961) Larmor Prize (1965) De Morgan Medal (1965) Fellow of the Royal Society |

Scientific career | |

Fields | Mathematician |

Institutions | University of Cambridge |

Academic advisors | Karl Pearson |

Doctoral students | Paul Cohn James Green Brian Hartley Bernhard Neumann Derek J. S. Robinson Derek Taunt Karl W. Gruenberg |

Other notable students | Garrett Birkhoff Alfred Goldie |

He was educated first at Christ's Hospital, where he won the Thompson Gold Medal for mathematics, and later at King's College, Cambridge. He was elected a Fellow of the Royal Society in 1951 and awarded its Sylvester Medal in 1961. He was President of the London Mathematical Society from 1955–1957, and was awarded its Berwick Prize in 1958 and De Morgan Medal in 1965.^{[4]}^{[5]}

- Hall, P. (1934). "A Contribution to the Theory of Groups of Prime-Power Order".
*Proceedings of the London Mathematical Society*. s2-36: 29–07. doi:10.1112/plms/s2-36.1.29. - Hall, P.; Higman, G. (1956). "On the p-Length of p-Soluble Groups and Reduction Theorems for Burnside's Problem".
*Proceedings of the London Mathematical Society*.**s3-6**: 1–42. doi:10.1112/plms/s3-6.1.1. - Hall, Philip (1988),
*The collected works of Philip Hall*, Oxford Science Publications, The Clarendon Press Oxford University Press, ISBN 978-0-19-853254-5, MR 0986732

- Abstract clone
- Commutator collecting process
- Isoclinism of groups
- Regular p-group
- Three subgroups lemma
- Hall algebra, and Hall polynomials
- Hall subgroup
- Hall–Higman theorem
- Hall–Littlewood polynomial
- Hall's universal group
- Hall's marriage theorem
- Hall word
- Hall–Witt identity
- Irwin–Hall distribution
- Zappa–Szép product

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