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bfc-group

Proceedings of the Edinburgh Mathematical Society (1)

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GROUPS WITH THE MAXIMAL CONDITION ON NON-BFC SUBGROUPS. II
Martyn R. Dixon, Leonid A. Kurdachenko
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Proceedings of the Edinburgh Mathematical Society / Volume 45 / Issue 3 / October 2002

Published online by Cambridge University Press:

14 October 2002, pp. 513-522
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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