165776 20260113234335.0 doi 10.1007/s00032-012-0172-0 sideral 79013 ART-2012-79013 eng Kurdachenko, L. A. An extension of a theorem by B.H. Neumann on groups with boundedly finite conjugacy classes 2012 The source of this paper is a classical theorem by B. H. Neumann on groups whose conjugacy classes are boundedly finite. In a natural way this leads to the study of groups with restrictions on the normal closures of their cyclic subgroups. More concretely, in this paper we study groups G such that the normal closure of every cyclic subgroup has a divisible Chernikov G-invariant subgroup D of minimax rank r such that gD has at most b conjugates in the factorgroup G/D. We prove that such groups are Chernikov-by-abelian and bound their invariants in terms of r and b only. info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.467 2012 MATHEMATICS 194 / 295 = 0.658 2012 Q3 T2 MATHEMATICS, APPLIED 197 / 247 = 0.798 2012 Q4 T3 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Muñoz-Escolano, J. M. Universidad de Zaragoza (orcid)0000-0002-8713-4591 Otal, J. Universidad de Zaragoza (orcid)0000-0002-3587-175X 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 80, 1 (2012), 227-241 Milan Journal of Mathematics Milan Journal of Mathematics 1424-9286 304309 http://zaguan.unizar.es/record/165776/files/texto_completo.pdf Versión publicada 1389149 http://zaguan.unizar.es/record/165776/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:165776 articulos driver 2026-01-13-22:08:07 ARTICLE