Published 1973
| public
Journal Article
Open
A characterization of the unitary and symplectic groups over finite fields of characteristic at least $5$
- Creators
- Aschbacher, Michael
Abstract
The following characterization is obtained: THEOREM. Let G be a finite group generated by a conjugacy class D of subgroups of prime order p ^ 5, such that for any choice of distinct A and B in D, the subgroup generated by A and B is isomorphic to Zp x Zp, L2(pm) or SL2(pm), where m depends on A and B. Assume G has no nontrivial solvable normal subgroup. Then G is isomorphic to Spn(q) or Un(q) for some power q of p.
Additional Information
Received February 25, 1972 and in revised form February 26, 1973. Euclid Identifier: euclid.pjm/1102946071 Zentralblatt Math Identifier : 0299.20009 Mathmatical Reviews number (MathSciNet): MR0338151Files
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Additional details
- Eprint ID
- 542
- Resolver ID
- CaltechAUTHORS:ASCpjm73
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2005-07-14Created from EPrint's datestamp field
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2019-10-02Created from EPrint's last_modified field