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. https://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 | ||||||
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| 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 | ||||||
| Issue or Number: | 1 | ||||||
| Record Number: | CaltechAUTHORS:ASCpjm73 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:ASCpjm73 | ||||||
| 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: | 02 Oct 2019 22:34 |
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