Centralizers in $\widetilde A_2$ groups

Details Centralizers in $\widetilde A_2$ groups Centralizers in $\widetilde A_2$ groups

2011-01-13

arxiv.org/abs/1101.2531v1

Mathematics

Group Theory

Scientific paper

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
$\widetilde A_2$.

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