Graham Higman

Personal life
Graham Higman (19 April 1917 - ) is 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

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

Advisor

 * John Henry Whitehead

Collaborators

 * Hanna Neumann
 * Bernhard Neumann
 * Philip Hall
 * Boone