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

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.