Aschbacher, Michael (1973) A characterization of the unitary and symplectic groups over finite fields of characteristic at least $5$. Pacific Journal of Mathematics, 47 (1). pp. 5-26. ISSN 0030-8730 http://resolver.caltech.edu/CaltechAUTHORS:ASCpjm73
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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.
| Item Type: | Article |
|---|---|
| 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): MR0338151 |
| Record Number: | CaltechAUTHORS:ASCpjm73 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:ASCpjm73 |
| Alternative URL: | http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.pjm/1102946071 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 542 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 14 Jul 2005 |
| Last Modified: | 26 Dec 2012 08:40 |
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