The subgroups of direct products of surface groups

Martin R. Bridson; James Howie; Charles F. Miller; Hamish Short

doi:10.1023/A:1019611419598

The subgroups of direct products of surface groups

Martin R. Bridson
, James Howie
, Charles F. Miller
, Hamish Short

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	95-103
Number of pages	9
Journal	Geometriae Dedicata
Volume	92
Issue number	1
DOIs	https://doi.org/10.1023/A:1019611419598
Publication status	Published - 2002

Keywords

Direct product
Free groups
Homology of groups
Subgroup
Surface groups

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title = "The subgroups of direct products of surface groups",

abstract = "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.",

keywords = "Direct product, Free groups, Homology of groups, Subgroup, Surface groups",

author = "Bridson, \{Martin R.\} and James Howie and Miller, \{Charles F.\} and Hamish Short",

year = "2002",

doi = "10.1023/A:1019611419598",

language = "English",

volume = "92",

pages = "95--103",

journal = "Geometriae Dedicata",

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T1 - The subgroups of direct products of surface groups

AU - Bridson, Martin R.

AU - Howie, James

AU - Miller, Charles F.

AU - Short, Hamish

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Direct product

KW - Free groups

KW - Homology of groups

KW - Subgroup

KW - Surface groups

UR - https://www.scopus.com/pages/publications/0036340965

U2 - 10.1023/A:1019611419598

DO - 10.1023/A:1019611419598

M3 - Article

SN - 1572-9168

VL - 92

SP - 95

EP - 103

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

The subgroups of direct products of surface groups

Abstract

Keywords

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