Seminar series
Date
Mon, 02 Mar 2015
15:45
15:45
Location
L6
Speaker
Pierre-Emmanuel Caprace
Organisation
Louvain-La-Neuve
A permutation group is called sharply n-transitive if it acts freely and transitively on the set of ordered n-tuples of distinct points. The investigation of such permutation groups is a classical branch of group theory; it led Emile Mathieu to the discovery of the smallest finite simple sporadic groups in the 1860's. In this talk I will discuss the case where the permutation group is assumed to be a locally compact transformation group, and explain how this set-up is related to Gromov hyperbolicity and to arithmetic lattices in products of trees.