Finite groups with a standard component whose centralizer has cyclic Sylow -subgroups
Author:
Larry Finkelstein
Journal:
Proc. Amer. Math. Soc. 62 (1977), 237-241
MSC:
Primary 20D05
DOI:
https://doi.org/10.1090/S0002-9939-1977-0439928-2
MathSciNet review:
0439928
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Abstract | References | Similar Articles | Additional Information
Abstract: Let G be a finite group with , A a standard component of G and X the normal closure of A in G. Furthermore, assume that
has cyclic Sylow 2-subgroups. Then conditions are given on A which imply that either
or
has Sylow 2-subgroups of order 2. These results are then applied to the cases where A is isomorphic to
or Ru, proper 2-fold covering of the Rudvalis group.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1977-0439928-2
Article copyright:
© Copyright 1977
American Mathematical Society