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GROUPS WITH THE MAXIMAL CONDITION ON NON-BFC SUBGROUPS. II

Published online by Cambridge University Press:  14 October 2002

Martyn R. Dixon  and
Leonid A. Kurdachenko
Martyn R. Dixon
Affiliation:
Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA ([email protected])
Leonid A. Kurdachenko
Affiliation:
Department of Algebra, University of Dnepropetrovsk, Vulycya Naukova 13, Dnepropetrovsk 50, 49050, Ukraine ([email protected])
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Abstract

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A group $G$ is called a group with boundedly finite conjugacy classes (or a BFC-group) if $G$ is finite-by-abelian. A group $G$ satisfies the maximal condition on non-BFC-subgroups if every ascending chain of non-BFC-subgroups terminates in finitely many steps. In this paper the authors obtain the structure of finitely generated soluble-by-finite groups with the maximal condition on non-BFC subgroups.

AMS 2000 Mathematics subject classification: Primary 20E15. Secondary 20F16; 20F24

Keywords

BFC-groupmaximal conditionsoluble-by-finite
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 3 , October 2002 , pp. 513 - 522
Copyright
Copyright © Edinburgh Mathematical Society 2002