Centralizers in Ã2 groups (2011)

Author(s): Robertson G

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

      • Date: 01-11-2011
      • Journal: Journal of Group Theory
      • Volume: 14
      • Issue: 6
      • Pages: 881-890
      • Publisher: Walter de Gruyter GmbH & Co. KG
      • Publication type: Article
      • Bibliographic status: Published

      Keywords: Group, Centralizer, Euclidean Building