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On the fitting core of a formation

Published online by Cambridge University Press:  17 April 2009

J. C. Beidleman  and
H. Heineken
J. C. Beidleman
Affiliation:
Department of Mathematics, University of Kentucky, Lexington KY 40506-0017, United States of America e-mail: clark@ms.uky.edu
H. Heineken
Affiliation:
Mathematisches Institut, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany e-mail: Heineken@mathematik.uni-wurzburg.de
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Abstract

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Dedicated to the memory of Bernhard H. Neumann

Not often is a formation also a Fitting class. In this article groups are exhibited that are contained in a given saturated formation and that do not lead out of this formation by forming normal products with other groups of it. This generalises a result of Cossey on T-groups and supersolvable groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 107 - 112
Copyright
Copyright © Australian Mathematical Society 2003

References

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