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A Characterization of the Finite Simple Groups PSp(4,q), G2(q), D42(q), II

Published online by Cambridge University Press:  22 January 2016

Paul Fong
Paul Fong*
Affiliation:
University of Illinois, Chicago, Illinois
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Our object in this paper is to prove the following result.

THEOREM. Let G be a finite group satisfying the following conditions:

  • (*) G has subgroups L1, L2 such that L1 ≃ SL(2, q1), L2 ≃ SL(2, q2), [L1 L2] = 1, , where j is an involution, and |C(j): L1L2| = 2.

  • (**) where n2 = 1,

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 39 , August 1970 , pp. 39 - 79
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

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