Finitely presented subgroups of systolic groups are systolic
In this note we prove that every finitely presented subgroup of a systolic group is itself systolic.
math.GR↗
arXiv subjects
Gašper Zadnik
Publications and source records attributed to Gašper Zadnik.
Regular elements in CAT(0) groups
Let X be a locally compact geodesically complete CAT(0) space and G be a discrete group acting properly and cocompactly on X. We show that G contains an element acting as a hyperbolic isometry on each indecomposable de Rham factor of X. It follows that if X is a product of d factors, then G contains free abelian group of rank d.
math.GR↗