Soluble groups which are products of minimax groups

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1988 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 50, pages 193-198 (issn: 0003-889X, eissn: 1420-8938,

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Authors: Wilson, John S.;

doi: 10.1007/bf01187732

Soluble groups which are products of minimax groups

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Abstract

Some sufficient conditions are given for a soluble group which is a product of two minimax groups H, K to be a minimax group. It is shown in particular that this is the case if one of the subgroups H, K is an extension of its FC-hypercentre by a polycyclic group.

Related Organizations

University of Cambridge
United Kingdom

Keywords

Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, polycyclic group, Subgroup theorems; subgroup growth, product of two minimax groups, FC-hypercentre, soluble group

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