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Finite groups generated by subnormal T-subgroups

Published online by Cambridge University Press:  18 May 2009

John Cossey
Affiliation:
Department of Mathematics, Australian National University, The Faculties, Canberra ACT 0200, Australia
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Our aim in this paper is to investigate the restrictions placed on the structure of a finite group if it can be generated by subnormal T-subgroups (a T-group is a group in which every subnormal subgroup is normal). For notational convenience we denote by the class of finite groups that can be generated by subnormal T-subgroups and by the subclass of of those finite groups generated by normal T-subgroups; and for the remainder of this paper we will only consider finite groups.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1995