Groups with infinitely many types of fixed subgroups

被引：0

作者：

Tim Hsu

Daniel T. Wise

机构：

[1] San Jose State University,Department of Mathematics

[2] McGill University,Department of Mathematics & Statistics

来源：

Israel Journal of Mathematics | 2004年 / 144卷

关键词：

Group Theory; Curvature Condition; Nonpositive Curvature; Finiteness Result;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is a theorem of Shor that ifG is a word-hyperbolic group, then up to isomrphism, only finitely many groups appear as fixed subgroups of automorphisms ofG. We give an example of a groupG acting freely and cocompactly on a CAT(0) square complex such that infinitely many non-isomorphic groups appear as fixed subgroups of automorphisms ofG. Consequently, Shor’s finiteness result does not hold if the negative curvature condition is relaxed to either biautomaticity or nonpositive curvature.

引用

页码：93 / 107

页数：14