Centraliser Dimension of Partially Commutative Groups

Abstract

In a previous paper we investigated the centraliser dimension of groups. In the current paper we study properties of centraliser dimension for the class of free partially commutative groups and, as a corollary, we obtain an efficient algorithm for computation of centraliser dimension in these groups.

arXiv comment30 pages, 5 figures Corrections following the referee's report and correcting mistakes in Section 2