4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.GR2008★ 4 cited
Boundaries of systolic groups
Damian Osajda, Piotr Przytycki
For all systolic groups we construct boundaries which are EZ--structures. This implies the Novikov conjecture for torsion--free systolic groups. The boundary is constructed via a s…
math.GR2007
Connectedness at infinity of systolic complexes and groups
Damian Osajda
By studying connectedness at infinity of systolic groups we distinguish them from some other classes of groups, in particular from the fundamental groups of manifolds covered by eu…
math.GR2007
Ideal boundary of 7-systolic complexes and groups
Damian Osajda
We prove that ideal boundary of a 7-systolic group is strongly hereditarily aspherical. For some class of 7-systolic groups we show their boundaries are connected and without local…