Central quotients of biautomatic groups

被引：12

作者：

Mosher, L

机构：

来源：

COMMENTARII MATHEMATICI HELVETICI | 1997年 / 72卷 / 01期

关键词：

biautomatic groups; quasi-isometrics; quasi-isometric sections; central extensions;

D O I：

10.1007/PL00000364

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The quotient of a biautomatic group by a subgroup of the center is shown to be biautomatic. The main tool used is the Neumann-Shapiro triangulation of Sn-1, associated to a biautomatic structure on Z(n). Among other applications a question of Gersten and Short is settled by showing that direct factors of biautomatic groups are biautomatic.

引用

页码：16 / 29

页数：14