Parabolic and quasiparabolic subgroups of free partially commutative groups

[摘要] Let Gamma 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 Gamma, 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. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-15

[关键词] partially commutative groups;right-angled arlin groups;centraliser lattice