An extension of a theorem by B. H. Neumann on groups with boundedly finite conjugacy classes.

DOI10.1007/s00032-012-0172-0zbMath1283.20036OpenAlexW1994846780MaRDI QIDQ1931674

José M. Muñoz-Escolano, Leonid A. Kurdachenko

Publication date: 15 January 2013

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-012-0172-0

zbMATH Keywords

FC-groupsChernikov groupsnormal closuresdivisible subgroupsBFC-groupsgroups with boundedly finite conjugacy classesminimax rank

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) General structure theorems for groups (20E34) Other classes of groups defined by subgroup chains (20F22) FC-groups and their generalizations (20F24)

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Cites Work

• Average dimension of fixed point spaces with applications.
• FC groups whose periodic parts can be embedded in direct products of finite groups
• The Schur property and groups with uniform conjugacy classes
• Multiplicators and groups with finite central factor-groups
• GROUPS IN WHICH NORMAL CLOSURES OF ELEMENTS HAVE BOUNDEDLY FINITE RANK
• Finiteness conditions and factorizations in infinite groups
• On groups with bounded conjugacy classes
• Groups Covered By Permutable Subsets
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