$Z^n$-free groups are CAT(0)

Inna Bumagin; Olga Kharlampovich

doi:10.1112/jlms/jdt037

$Z^n$-free groups are CAT(0)

Group Theory 2014-02-26 v2

Authors: Inna Bumagin , Olga Kharlampovich

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Abstract

We show that every group with free $\mathbb{Z}^n$ -length function is CAT(0).

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@article{arxiv.1103.2784,
  title  = {$Z^n$-free groups are CAT(0)},
  author = {Inna Bumagin and Olga Kharlampovich},
  journal= {arXiv preprint arXiv:1103.2784},
  year   = {2014}
}

Comments

To be published in the Journal of the London Mathematical Society. This version is very close to the accepted version. The exposition greatly improved due to the referee's comments

$Z^n$-free groups are CAT(0)

Abstract

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