Normalisers in limit groups

Martin R. Bridson; James Howie

doi:10.1007/s00208-006-0039-1

Normalisers in limit groups

Martin R. Bridson, James Howie

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

25 Citations (Scopus)

Abstract

Let G be a limit group, S ? ? a non-trivial subgroup, and N the normaliser of S. If H₁(S, Q) has finite Q -dimension, then S is finitely generated and either N/S is finite or N is abelian. This result has applications to the study of subdirect products of limit groups. © Springer-Verlag 2007.

Original language	English
Pages (from-to)	385-394
Number of pages	10
Journal	Mathematische Annalen
Volume	337
Issue number	2
DOIs	https://doi.org/10.1007/s00208-006-0039-1
Publication status	Published - Feb 2007

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abstract = "Let G be a limit group, S ? ? a non-trivial subgroup, and N the normaliser of S. If H1(S, Q) has finite Q -dimension, then S is finitely generated and either N/S is finite or N is abelian. This result has applications to the study of subdirect products of limit groups. {\textcopyright} Springer-Verlag 2007.",

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AB - Let G be a limit group, S ? ? a non-trivial subgroup, and N the normaliser of S. If H1(S, Q) has finite Q -dimension, then S is finitely generated and either N/S is finite or N is abelian. This result has applications to the study of subdirect products of limit groups. © Springer-Verlag 2007.

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VL - 337

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EP - 394

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 2

ER -

Normalisers in limit groups

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