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Graham Higman
Graham Higman.jpg
Born
Graham Higman

(1917-01-19)19 January 1917
Died 8 April 2008(2008-04-08) (aged 91)
Oxford, England
Citizenship United Kingdom
Alma mater Balliol College, Oxford
Known for Higman group
Higman's embedding theorem
Higman's lemma
HNN extension
Higman–Sims group
Hall–Higman theorem
Awards Senior Berwick Prize (1962)
LMS De Morgan Medal (1974)
Sylvester Medal (1979)
Scientific career
Fields Mathematics, Group theory
Institutions University of Oxford
Doctoral advisor J. H. C. Whitehead
Doctoral students

Graham Higman FRS (19 January 1917 – 8 April 2008) was a prominent English mathematician known for his contributions to group theory.

Biography

Higman was born in Louth, Lincolnshire, and attended Sutton High School, Plymouth, winning a scholarship to Balliol College, Oxford. In 1939 he co-founded The Invariant Society, the student mathematics society, and earned his DPhil from the University of Oxford in 1941. His thesis, The units of group-rings, was written under the direction of J. H. C. Whitehead. From 1960 to 1984 he was the Waynflete Professor of Pure Mathematics at Magdalen College, Oxford.

Higman was awarded the Senior Berwick Prize in 1962 and the De Morgan Medal of the London Mathematical Society in 1974. He was the founder of the Journal of Algebra and its editor from 1964 to 1984. Higman had 51 D.Phil. students, including Jonathan Lazare Alperin, Rosemary A. Bailey, Marston Conder, John Mackintosh Howie, and Peter M. Neumann.

He was also a local preacher in the Oxford Circuit of the Methodist Church. During the Second World War he was a conscientious objector, working at the Meteorological Office in Northern Ireland and Gibraltar.

He died in Oxford.

See also

  • Higman–Sims group, named after Donald G. Higman, but studied also by Graham Higman.
  • Higman's embedding theorem
  • Feit-Higman theorem
  • Higman group
  • Higman's lemma
  • HNN extension
  • Hall–Higman theorem
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