Michael O'Nan
American mathematician
From Wikipedia, the free encyclopedia
Michael Ernest O'Nan (August 9, 1943, Fort Knox, Kentucky – July 31, 2017, Princeton, New Jersey)[1] was an American mathematician, specializing in group theory.[2]
Michael Ernest O'Nan | |
|---|---|
| Born | August 9, 1943 Fort Knox, Kentucky, U.S. |
| Died | July 31, 2017 (aged 73) Princeton, New Jersey, U.S. |
| Alma mater | Princeton University |
| Known for | O'Nan group; O'Nan–Scott theorem |
| Scientific career | |
| Fields | Group theory |
| Institutions | Rutgers University |
| Daniel Gorenstein | |
O'Nan received his PhD in 1970 from Princeton University under Daniel Gorenstein with thesis A Characterization of the Three-Dimensional Projective Unitary Group over a Finite Field.[3] He was a professor at Rutgers University. In 1976 he found strong evidence for the existence of a sporadic group,[4] which Charles Sims constructed. The group is commonly called the O'Nan group after O'Nan.[5]
The O'Nan–Scott theorem in group theory is also named after O'Nan, who discovered it independently from Leonard Scott. It describes the maximal subgroups of the symmetric groups.[citation needed]
Selected works
- Linear Algebra (= Eagle Mathematics Series. vol. 2A). Harcourt Brace Jovanovich, New York NY, 1971, ISBN 0-15-518558-6 (2nd edition.1976, ISBN 0-15-518560-8; 3rd edition. with Herbert Enderton. Harcourt Brace Jovanovich, San Diego CA, 1990, ISBN 0-15-551008-8).
- o'Nan, Michael E. (1975). "Normal structure of the one-point stabilizer of a doubly-transitive permutation group. I" (PDF). Bull. Amer. Math. Soc. 214: 1–42. doi:10.1090/s0002-9947-1975-0393207-3. MR 0393207.
- o'Nan, Michael E. (1975). "Normal structure of the one-point stabilizer of a doubly-transitive permutation group. II" (PDF). Bull. Amer. Math. Soc. 214: 43–74. doi:10.1090/s0002-9947-75-99942-0.
