Philip Hall

For other people with the same name, see Phil Hall (disambiguation).

Not to be confused with Marshall Hall (mathematician).

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
Philip Hall
Born	(1904-04-11)11 April 1904 London, England
Died	30 December 1982(1982-12-30) (aged 78) Cambridge, England
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

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.^[4][5]

Publications

• 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

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

References

1. Green, J. A.; Roseblade, J. E.; Thompson, J. G. (1984). "Philip Hall. 11 April 1904–30 December 1982". Biographical Memoirs of Fellows of the Royal Society. 30: 250–279. doi:10.1098/rsbm.1984.0009. JSTOR 769827.
2. Gruenberg, K. W.; Roseblade, J. E., eds. (1984), Group theory. Essays for Philip Hall., Boston, MA: Academic Press, ISBN 978-0-12-304880-6, MR 0780565
3. Green, J. A.; Roseblade, J. E.; Thompson, J. G. (1984). "Obituary: Philip Hall". Bulletin of the London Mathematical Society. 16 (6): 603. doi:10.1112/blms/16.6.603.
4. O'Connor, John J.; Robertson, Edmund F., "Philip Hall", MacTutor History of Mathematics Archive, University of St Andrews
5. Philip Hall at the Mathematics Genealogy Project