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On minimal Fitting classes of periodic, infinite groups

Part of: Representation theory of groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Brendan McCann
Brendan McCann
Affiliation:
Department of Physical and Quantitative Sciences, Regional Technical College, Cork Road, Waterford, Ireland
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Abstract

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Examples of Fitting classes generated by certain periodic infinite groups are presented in this paper. The groups in question are finite extensions of direct products of quasi-cyclic (Prüfer) groups and are, in particular, Černikov groups. The methods applied follow closely those used for constructing Fitting classes of finite groups, especially in the case of nilpotent length three.

MSC classification

Secondary: 20F16: Solvable groups, supersolvable groups 20F17: Formations of groups, Fitting classes 20D35: Subnormal subgroups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 3 , June 1993 , pp. 304 - 320
Copyright
Copyright © Australian Mathematical Society 1993

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