Damian Osajda
A construction of hyperbolic Coxeter groups.
Thu, 03/04/2010 - 16:01 — SomNambulAuthors: Damian Osajda
Subjects: Group Theory
AbstractWe give a simple construction of Gromov hyperbolic Coxeter groups of
arbitrarily large virtual cohomological dimension. Our construction provides
new examples of such groups. Using this one can construct e.g. new groups
having some interesting asphericity properties.Dismantlability of weakly systolic complexes and applications.
Thu, 10/29/2009 - 16:01 — SomNambulAuthors: Victor Chepoi, Damian Osajda
Subjects: Group Theory
AbstractIn this paper, we investigate the structural properties of weakly systolic
complexes introduced recently by the second author and of their 1-skeletons,
the weakly bridged graphs. We present several characterizations of weakly
systolic complexes and weakly bridged graphs. Then we prove that weakly bridged
graphs are dismantlable. Using this, we establish the fixed point theorem for
weakly systolic complexes. As a consequence, we get results about conjugacy
classes of finite subgroups and classifying spaces for finite subgroups of
weakly systolic groups.
User login
