1 citations · 2 across the 10 of their papers we have counts for
5 papers · 2 filters
A note on locally elliptic actions on cube complexes
Nils Leder, Olga Varghese
We deduce from Sageev's results that whenever a group acts locally elliptically on a finite dimensional CAT(0) cube complex, then it must fix a point. As an application, we give an…
Planarity of Cayley graphs of graph products of groups
Olga Varghese
We obtain a complete classification of graph products of finite abelian groups whose Cayley graphs with respect to the standard presentations are planar.
On coherence of graph products and Coxeter groups
Olga Varghese
We study coherence of graph products and Coxeter groups and obtain many results in this direction.
The automorphism group of the universal Coxeter group
Olga Varghese
We study fixed point properties of the automorphism group of the universal Coxeter group Aut. In particular, we prove that whenever Aut acts by isometries on complete…
Representations of groups with CAT(0) fixed point property
Olga Varghese
We show that certain representations over fields with positive characteristic of groups having CAT(0) fixed point property have finite image.…