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Centraliser Dimension of Partially Commutative Groups

Andrew J. Duncan·Ilya V. Kazachkov·Vladimir N. Remeslennikov
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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.

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Andrew J. Duncan, Ilya V. Kazachkov, Vladimir N. Remeslennikov. 2007-02-16. Centraliser Dimension of Partially Commutative Groups. https://arxiv.org/abs/math/0506072

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