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：
澳大利亚研究理事会; 英国工程与自然科学研究理事会;
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
收藏
页码：95 / 103
页数：9
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