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Siberian Mathematical Journal

, Volume 43, Issue 2, pp 195–211 | Cite as

On Composition Factors of Finite Groups Having the Same Set of Element Orders as the Group U3(q)

  • M. R. Aleeva
Article

Abstract

We study the composition factors of a finite nonsolvable group having the same set of order elements as the simple unitary group U3(q) for an odd q. We prove in particular that for q>5 the (only) nonabelian composition factor of such a group is isomorphic to U3(q).

Keywords

Finite Group Unitary Group Composition Factor Element Order Nonsolvable Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • M. R. Aleeva
    • 1
  1. 1.Institute of Mechanics and MathematicsEkaterinburg

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