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A Characterization of the Simple Group U3(5)

Published online by Cambridge University Press:  22 January 2016

Koichiro Harada
Koichiro Harada*
Affiliation:
Nagoya University and The Institute for Advanced Study
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In this note we consider a finite group G which satisfies the following conditions:

  • (0. 1) G is a doubly transitive permutation group on a set Ω of m + 1 letters, where m is an odd integer ≥ 3,

  • (0. 2) if H is a subgroup of G and contains all the elements of G which fix two different letters α, β, then H contains unique permutation h0 ≠ 1 which fixes at least three letters,

  • (0. 3) every involution of G fixes at least three letters,

  • (0. 4) G is not isomorphic to one of the groups of Ree type.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 38 , March 1970 , pp. 27 - 40
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

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