Displaying 141 – 160 of 348

Showing per page

On the Cantor-Bendixson rank of metabelian groups

Yves Cornulier (2011)

Annales de l’institut Fourier

We study the Cantor-Bendixson rank of metabelian and virtually metabelian groups in the space of marked groups, and in particular, we exhibit a sequence ( G n ) of 2-generated, finitely presented, virtually metabelian groups of Cantor-Bendixson rank  ω n .

On the structure of groups whose non-abelian subgroups are subnormal

Leonid Kurdachenko, Sevgi Atlıhan, Nikolaj Semko (2014)

Open Mathematics

The main aim of this article is to examine infinite groups whose non-abelian subgroups are subnormal. In this sense we obtain here description of such locally finite groups and, as a consequence we show several results related to such groups.

On transitivity of pronormality

Leonid A. Kurdachenko, Igor Ya. Subbotin (2002)

Commentationes Mathematicae Universitatis Carolinae

This article is dedicated to soluble groups, in which pronormality is a transitive relation. Complete description of such groups is obtained.

Currently displaying 141 – 160 of 348