On algebraic and geometric dimensions for groups with torsion

被引：37

作者：

Brady, N ^{[1
]}

Leary, IJ

Nucinkis, BEA

机构：

[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

[2] Univ Southampton, Fac Math Studies, Southampton SO17 1BJ, Hants, England

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2001年 / 64卷

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1112/S002461070100240X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Various notions of dimension for discrete groups are compared. A group is exhibited that acts with finite stabilizers on an acyclic 2-complex in such a way that the fixed point subcomplex for any non-trivial finite subgroup is contractible, but such that the group does not admit any such action on a contractible 2-complex. This group affords a counterexample to a natural generalization of the Eilenberg-Ganea conjecture.

引用

页码：489 / 500

页数：12

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