On finite groups admitting a special noncoprime action
Author:
Gülin Ercan
Journal:
Proc. Amer. Math. Soc. 133 (2005), 2543-2547
MSC (2000):
Primary 20D10, 20F28
DOI:
https://doi.org/10.1090/S0002-9939-05-08011-1
Published electronically:
April 8, 2005
MathSciNet review:
2146197
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Abstract | References | Similar Articles | Additional Information
Abstract: An important result of Turull (1984) is the following:
Let be a finite solvable group,
and
. Then
, where
denotes the Fitting height and
denotes the composition length.
The purpose of this work is to give a treatment of the minimal configuration in this framework with additional conditions, yet without the coprimeness condition.
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Additional Information
Gülin Ercan
Affiliation:
Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey
DOI:
https://doi.org/10.1090/S0002-9939-05-08011-1
Keywords:
Noncoprime action,
fitting height
Received by editor(s):
May 17, 2004
Published electronically:
April 8, 2005
Communicated by:
Jonathan I. Hall
Article copyright:
© Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.