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

页码：95 / 103

页数：9

共 16 条

[1]

BAUMSLAG G, 1984, J LOND MATH SOC, V30, P44

[2]

Bieri Robert, 1976, J. Pure Appl. Algebra, V7, p35?51, DOI [10.1016/0022-4049(76)90065-7, DOI 10.1016/0022-4049(76)90065-7]

[3]

Bridson BR, 1999, MATH PROC CAMBRIDGE, V126, P481

[4]

Brown K. S., 1982, GRAD TEXTS MATH, V87

[5]

CARR NC, 1982, THESIS U COLL LONDON

[6]

GRUNEWALD FJ, 1978, J LOND MATH SOC, V17, P427

[7] SUBGROUPS OF FINITE INDEX IN FREE GROUPS [J].

HALL, M .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1949, 1 (02) :187-190

[8] Subgroups of products of surface groups [J].

Johnson, FEA .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1999, 126 :195-208

[9] Finitely presented normal subgroups of a product of Fuchsian groups [J].

Johnson, FEA .

JOURNAL OF ALGEBRA, 2000, 231 (01) :39-52

[10] THE GEOMETRIC INVARIANTS OF DIRECT PRODUCTS OF VIRTUALLY FREE GROUPS [J].

MEINERT, H .

COMMENTARII MATHEMATICI HELVETICI, 1994, 69 (01) :39-48

← 1 2 →