Graham Higman
(Redirected from Higman)
This article is about a British group theorist (a British person working in group theory)
WARNING: POTENTIAL TERMINOLOGICAL CONFUSION: Please don't confuse this with D G Higman
This article or section of article is sourced from:MacTutor
Life
Personal life
Graham Higman (19 April 1917 - 8 April 2008) was a British mathematician.
Professional life
Recognitions:
- 1958: Elected Fellow of the Royal Society
- 1962: LMS Berwick Prize Winner
- 1965-67: London Mathematical Society President
- 1974: London Mathematical Society de Morgan medal
- 1979: Royal Society Sylvester medal
Work
Group theory
Higman has worked primarily in the areas of combinatorial group theory, and with questions on finitely presented groups. Some of his contributions are:
- HNN-extensions that he introduced jointly with Bernhard Neumann and Hanna Neumann
- Two papers with B. Neumann, titled Groups as groupoids with one law and On two questions of Ito
- A joint paper with Philip Hall making crucial forward steps in the solution to the Burnside problem, appearing in 1956
- A paper in 1961 titled Subgroups of finitely presented groups where he proved that a finitely generated group can be embedded in a finitely presented group if and only if it is recursively presented
- A paper with Boone on the algebraic structure of groups with solvable word problem and solvable order problem