Finitely presented subgroups of automatic groups and their isoperimetric functions

被引：16

作者：

Baumslag, G

Bridson, MR

Miller, CF

Short, H

机构：

[1] CUNY City Coll, Dept Math, New York, NY 10031 USA

[2] Math Inst, Oxford OX1 3LB, England

[3] Univ Melbourne, Dept Math, Parkville, Vic 3052, Australia

[4] Univ Aix Marseille 1, Ctr Math & Informat, URA 225, F-13453 Marseille 13, France

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1997年 / 56卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1112/S0024610797005395

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a general technique for embedding certain amalgamated products into direct products. This technique provides us with a way of constructing a host of finitely presented subgroups of automatic groups which are not even asynchronously automatic. We can also arrange that such subgroups satisfy, at best, an exponential isoperimetric inequality.

引用

页码：292 / 304

页数：13

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