Michael O'Nan

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]

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.

References

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This page was last edited on 23 April 2023, at 19:18