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On finite groups admitting a special noncoprime action
Author(s):
Gülin
Ercan
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2543-2547.
MSC (2000):
Primary 20D10, 20F28
Posted:
April 8, 2005
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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.
References:
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Additional Information:
Gülin
Ercan
Affiliation:
Department of Mathematics, Middle East Technical University, 06531, Ankara, Turkey
DOI:
10.1090/S0002-9939-05-08011-1
PII:
S 0002-9939(05)08011-1
Keywords:
Noncoprime action,
fitting height
Received by editor(s):
May 17, 2004
Posted:
April 8, 2005
Communicated by:
Jonathan I. Hall
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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