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Centraliser Dimension of Partially Commutative Groups

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Abstract

In a previous paper (Centraliser Dimension and Universal Classes of Groups), 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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Correspondence to Andrew J. Duncan.

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Research supported by EPSRC grant GR/R87406/01.

Ilya V. Kazachkov, Vladimir N. Remeslennikov: Supported by RFFI grant N05-01-00057-a

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Duncan, A.J., Kazachkov, I.V. & Remeslennikov, V.N. Centraliser Dimension of Partially Commutative Groups. Geom Dedicata 120, 73–97 (2006). https://doi.org/10.1007/s10711-006-9046-3

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  • DOI: https://doi.org/10.1007/s10711-006-9046-3

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