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

39 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

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10.4007/annals.2009.170.1447

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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.",

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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.

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JO - Annals of Mathematics

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Subgroups of direct products of limit groups

Abstract

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