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Fitting classes based on groups of nilpotent length three with operator-isomorphic minimal normal subgroups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Brendan McCann
Brendan McCann
Affiliation:
Department of Physical and Quantitative Sciences Regional Technical CollegeWaterford, Ireland
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Abstract

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In this paper a technique for constructing Fitting Classes is applied to certain groups of nilpotent length three which have non-unique minimal normal subgroups. A characterisation of the minimal Fitting Class of some of these groups is also given.

MSC classification

Secondary: 20D35: Subnormal subgroups 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 3 , December 1991 , pp. 448 - 467
Copyright
Copyright © Australian Mathematical Society 1991

References

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