Centraliser dimension of partially commutative groups

被引：16

作者：

Duncan, Andrew J.

Kazachkov, Ilya V.

Remeslennikov, Vladimir N.

机构：

[1] Univ Newcastle Upon Tyne, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

[3] Russian Acad Sci, Inst Math, Siberian Branch, Omsk 644099, Russia

来源：

GEOMETRIAE DEDICATA | 2006年 / 120卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

partially commulative groups; graph groups; right angled Artin groups; centraliser dimension;

D O I：

10.1007/s10711-006-9046-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：73 / 97

页数：25

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