The subgroups of direct products of surface groups

被引：27

作者：

Bridson, MR

Howie, J

Miller, CF

Short, H

机构：

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

[2] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

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

[4] Ctr Math & Informat, LATP, UMR 6632, F-13453 Marseille 13, France

来源：

GEOMETRIAE DEDICATA | 2002年 / 92卷 / 01期

基金：

英国工程与自然科学研究理事会; 澳大利亚研究理事会;

关键词：

subgroup; direct product; free groups; surface groups; homology of groups;

D O I：

10.1023/A:1019611419598

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup of a product of n surface groups is of type FPn if and only if it contains a subgroup of finite index that is itself a product of (at most n) surface groups.

引用

页码：95 / 103

页数：9

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