Philip Hall Explained

Philip Hall should not be confused with Marshall Hall (mathematician).

Philip Hall
Birth Date:	11 April 1904
Birth Place:	London, England
Death Place:	Cambridge, England
Field:	Mathematician
Work Institution:	University of Cambridge
Alma Mater:	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
Notable Students:	Garrett Birkhoff Alfred Goldie
Known For:	Hall's marriage theorem Hall polynomial Hall subgroup Hall–Littlewood polynomial
Prizes:	Senior Berwick Prize (1958) Sylvester Medal (1961) Larmor Prize (1965) De Morgan Medal (1965) Fellow of the Royal Society

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]

Biography

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.

Publications

• Hall . P. . A Contribution to the Theory of Groups of Prime-Power Order . s2-36 . 10.1112/plms/s2-36.1.29 . Proceedings of the London Mathematical Society . 29–07 . 1934 .
• Hall . P. . Higman . G. . s3-6 . 10.1112/plms/s3-6.1.1 . On the p-Length of p-Soluble Groups and Reduction Theorems for Burnside's Problem . Proceedings of the London Mathematical Society . 1–42 . 1956 .

See also

• 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

Notes and References

1. Green . J. A. . Roseblade . J. E. . Thompson . J. G. . Philip Hall. 11 April 1904–30 December 1982 . 10.1098/rsbm.1984.0009 . . 30 . 250–279 . 1984 . 769827.
2. Green . J. A. . Roseblade . J. E. . Thompson . J. G. . 10.1112/blms/16.6.603 . Obituary: Philip Hall . Bulletin of the London Mathematical Society . 16 . 6 . 603 . 1984 .