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A Characterization of Odd Order Extensions of the Finite Simple Groups PSp(4, q), G2(q),

Published online by Cambridge University Press:  22 January 2016

Morton E. Harris
Morton E. Harris*
Affiliation:
University of Illinois at Chicago Circle
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Let p denote an odd prime integer and let q = pf where f is a positive integer. Let ℋ denote the projective symplectic group PSp(4,q), the Dickson group G2(q), or the Steinberg “triality twisted” group over a field Fq of q elements. Then ℋ is simple and the Sylow 2-subgroups of ℋ have centers of order 2 so that involutions which centralize a Sylow 2-subgroup of ℋ form a single conjugacy class of ℋ.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 45 , February 1972 , pp. 79 - 96
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

References

Refereces

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