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A Characterization of Odd Order Extensions of the Finite Simple Groups PSp(4, q), G2(q), ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20180130095913744-0147:S0027763000014665:S0027763000014665_inline1.gif?pub-status=live)
Published online by Cambridge University Press: 22 January 2016
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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.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1972
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