Parabolic and Quasiparabolic Subgroups of Free Partially Commutative Groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let S be a finite graph and G be the corresponding free partially commutative group. In this paper we study subgroups generated by vertices of the graph S, which we call canonical parabolic subgroups. A natural extension of the definition leads to canonical quasiparabolic subgroups. It is shown that the centralisers of subsets of G are the conjugates of canonical quasiparabolic centralisers satisfying certain graph theoretic conditions.
18 pages, 1 figure

Keywords

Group Theory, 20F36 (Primary) 20E15 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/123989

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702431
 http://arxiv.org/abs/math/0702431

Collections

arXiv