Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 48, No. 1, pp. 69-82 (2007)
|
|
Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 1, pp. 69-82 (2007) |
|
|
Groups in which the bounded nilpotency of two-generator subgroups is a transitive relationCostantino Delizia, Primo\v z Moravec and Chiara Nicotera$^{1,3}$ Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte don Melillo, 84084 - Fisciano (SA), Italy, $^1$ e-mail: cdelizia@unisa.it , $^3$ e-mail: cnicotera@unisa.it; $^2$ Fakulteta za Matematiko in Fiziko, Univerza v Ljubljani, Jadranska 19, 1000 Ljubljana, Slovenia, e-mail: primoz.moravec@fmf.uni-lj.siAbstract: In this paper we describe the structure of locally finite groups in which the bounded nilpotency of two-generator subgroups is a transitive relation. We also introduce the notion of (nilpotent of class $c$)-transitive kernel. Our results generalize several known results related to the groups in which commutativity is a transitive relation. Keywords: nilpotent-transitive groups, (nilpotent of class $c$)-transitive kernel, locally finite groups, Frobenius groups Classification (MSC2000): 20E15, 20D25 Full text of the article:
Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.
© 2007 Heldermann Verlag
|