Finite groups with a standard component whose centralizer has cyclic Sylow subgroups
Author:
Larry Finkelstein
Journal:
Proc. Amer. Math. Soc. 62 (1977), 237241
MSC:
Primary 20D05
MathSciNet review:
0439928
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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 2subgroups. Then conditions are given on A which imply that either or has Sylow 2subgroups of order 2. These results are then applied to the cases where A is isomorphic to or Ru, proper 2fold covering of the Rudvalis group.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939197704399282
PII:
S 00029939(1977)04399282
Article copyright:
© Copyright 1977 American Mathematical Society
