Centraliser Dimension of Partially Commutative Groups

Mathematics – Group Theory

Scientific paper

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

Scientific paper

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.

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