Philip Hall

Personal life
Philip Hall (11 April 1904,Hamsptead - 30 December, 1982, Cambridge) was an English mathematician.

Professional life
Recognitions:


 * 1951: Elected Fellow of the Royal Society
 * 1955-57: President of the London Mathematical Society
 * 1958: Won the Berwick prize
 * 1961: Won the Silvester Medal
 * 1965: Won the deMorgan medal

Group theory
Hall's main contribution in group theory was in the area of solvable groups, particular the finite ones. He characterized solvability in terms of the existence of permutable complements to Sylow subgroups -- this is the famous Hall's theorem. Hall subgroups have been named so in his honor.

Other areas
Hall also gave the Hall polynomial and the Hall marriage theorem.

Terms

 * Hall subgroup
 * Hall system

Results

 * Hall's theorem

Advisors

 * William Burnside

Students

 * Karl Gruenberg
 * Derek Robinson