Normalisers in Limit Groups

Martin R Bridson; James Howie

Normalisers in Limit Groups

Group Theory 2007-05-23 v1 General Topology

Authors: Martin R Bridson , James Howie

Abstract

Let $\G$ be a limit group, $S\subset\G$ a subgroup, and $N$ the normaliser of $S$ . If $H_1(S,\mathbb Q)$ 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.

Keywords

finite group theory group theory combinatorial group theory

Cite

@article{arxiv.math/0505506,
  title  = {Normalisers in Limit Groups},
  author = {Martin R Bridson and James Howie},
  journal= {arXiv preprint arXiv:math/0505506},
  year   = {2007}
}

Comments

10 pages, no figures

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