English

Centraliser Dimension of Partially Commutative Groups

Group Theory 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0506072,
  title  = {Centraliser Dimension of Partially Commutative Groups},
  author = {Andrew J. Duncan and Ilya V. Kazachkov and Vladimir N. Remeslennikov},
  journal= {arXiv preprint arXiv:math/0506072},
  year   = {2007}
}

Comments

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