Subgroups of direct products of limit groups

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

doi:10.4007/annals.2009.170.1447

Subgroups of direct products of limit groups

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

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

40 Citations (Scopus)

Abstract

If G₁,...,G_n are limit groups and S ? G₁ ×...×G_n is of type FP_n(Q{double-struck}) then S contains a subgroup of finite index that is itself a direct product of at most n limit groups. This answers a question of Sela. © Copyright 2009 Annals of Mathematics. All rights reserved.

Original language	English
Pages (from-to)	1447-1467
Number of pages	21
Journal	Annals of Mathematics
Volume	170
Issue number	3
DOIs	https://doi.org/10.4007/annals.2009.170.1447
Publication status	Published - 2009

Access to Document

10.4007/annals.2009.170.1447

Cite this

@article{f0ed7f9008014709ab2aea5f29f1015e,

title = "Subgroups of direct products of limit groups",

abstract = "If G1,...,Gn are limit groups and S ? G1 ×...×Gn is of type FPn(Q\{double-struck\}) then S contains a subgroup of finite index that is itself a direct product of at most n limit groups. This answers a question of Sela. {\textcopyright} Copyright 2009 Annals of Mathematics. All rights reserved.",

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

year = "2009",

doi = "10.4007/annals.2009.170.1447",

language = "English",

volume = "170",

pages = "1447--1467",

journal = "Annals of Mathematics",

issn = "0003-486X",

publisher = "Department of Mathematics at Princeton University",

number = "3",

}

TY - JOUR

T1 - Subgroups of direct products of limit groups

AU - Bridson, Martin R.

AU - Howie, James

AU - Miller, Charles F.

AU - Short, Hamish

PY - 2009

Y1 - 2009

N2 - If G1,...,Gn are limit groups and S ? G1 ×...×Gn is of type FPn(Q{double-struck}) then S contains a subgroup of finite index that is itself a direct product of at most n limit groups. This answers a question of Sela. © Copyright 2009 Annals of Mathematics. All rights reserved.

AB - If G1,...,Gn are limit groups and S ? G1 ×...×Gn is of type FPn(Q{double-struck}) then S contains a subgroup of finite index that is itself a direct product of at most n limit groups. This answers a question of Sela. © Copyright 2009 Annals of Mathematics. All rights reserved.

UR - https://www.scopus.com/pages/publications/71749093354

U2 - 10.4007/annals.2009.170.1447

DO - 10.4007/annals.2009.170.1447

M3 - Article

SN - 0003-486X

VL - 170

SP - 1447

EP - 1467

JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 3

ER -

Subgroups of direct products of limit groups

Abstract

Access to Document

Other files and links

Fingerprint

Cite this