English

Centralizers in $\widetilde A_2$ groups

Group Theory 2013-02-25 v1 Metric Geometry

Abstract

Let Γ\Gamma be a torsion free discrete group acting cocompactly on a two dimensional euclidean building Δ\Delta. The centralizer of an element of Γ\Gamma is either a Bieberbach group or is described by a finite graph of finite cyclic groups. Explicit examples are computed, with Δ\Delta of type A~2\widetilde A_2.

Keywords

Cite

@article{arxiv.1101.2531,
  title  = {Centralizers in $\widetilde A_2$ groups},
  author = {Guyan Robertson},
  journal= {arXiv preprint arXiv:1101.2531},
  year   = {2013}
}
R2 v1 2026-06-21T17:11:24.947Z