Graham Higman (19 January 1917 to 8 April 2008) was a prominent English mathematician known for his contributions to group theory. Born in Louth, Lincolnshire, he won a scholarship to Balliol College, Oxford, co-founded the student mathematics society The Invariant Society in 1939, and earned his doctorate at Oxford in 1941 with a thesis on the units of group rings under J. H. C. Whitehead. From 1960 to 1984 he was the Waynflete Professor of Pure Mathematics at Magdalen College, Oxford. He won the Senior Berwick Prize in 1962 and the De Morgan Medal of the London Mathematical Society in 1974, founded the Journal of Algebra and edited it from 1964 to 1984, and supervised 51 doctoral students.
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Graham Higman
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Conjectures Posed
Source Kaplansky's Conjectures (Wikipedia)
In Branch
Source Wikipedia: Graham Higman
Proofs Credited
Source Higman's embedding theorem (Wikipedia)
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1. Wikipedia: Graham Higman
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His thesis, The units of group-rings, was written under the direction of J. H. C. Whitehead.
Higman's embedding theorem (Wikipedia)
Proofs Credited: Higman's Embedding Theorem, LeadQuote, Proofs Credited: Higman's Embedding Theorem, Lead
In group theory, Higman's embedding theorem states that every finitely generated recursively presented group R can be embedded as a subgroup of some finitely presented group G. This is a result of Graham Higman from the 1960s.
Kaplansky's Conjectures (Wikipedia)
Conjectures Posed: Kaplansky's Conjectures, Lead sectionQuote, Conjectures Posed: Kaplansky's Conjectures, Lead section
a = 1 or a = 0. and Kaplansky's unit conjecture (which was originally made by Graham Higman and popularized by Kaplansky): K[G] does not
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