Donald G. Higman (September 20, 1928 in Vancouver – February 13, 2006) was an American mathematician known for his discovery, in collaboration with Charles C. Sims, of the Higman–Sims group.[1]

Higman did his undergraduate studies at the University of British Columbia,[1] and received his Ph.D. in 1952 from the University of Illinois Urbana-Champaign under Reinhold Baer.[2] He served on the faculty of mathematics at the University of Michigan from 1956 to 1998.[1]

His work on homological aspects of group representation theory established the concept of a relatively projective module and explained its role in the theory of module decompositions. He developed a characterization of rank-2 permutation groups, and a theory of rank-3 permutation groups; several of the later-discovered sporadic simple groups were of this type, including the Higman–Sims group which he and Sims constructed in 1967.[1]

References

  1. 1 2 3 4 Bannai, Eiichi; Griess, Robert L. Jr.; Praeger, Cheryl E.; Scott, Leonard (2009), "The mathematics of Donald Gordon Higman" (PDF), Michigan Math. J., 58: 3–30, doi:10.1307/mmj/1242071682, S2CID 17392124.
  2. ↑ Donald G. Higman at the Mathematics Genealogy Project
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