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Special Seminar: Ayala Byron (HUJI) "Homogeneity of torsion-free hyperbolic groups" | Einstein Institute of Mathematics

Special Seminar: Ayala Byron (HUJI) "Homogeneity of torsion-free hyperbolic groups"

Date: 
Thu, 29/06/201714:00-15:00
Location: 
Ross 70

Abstract:
A (countable) group G is homogeneous if whenever g,h are tupples of the same type in G, there is an automorphism of G sending g to h.
We give a characterization of freely-indecomposable torsion-free hyperbolic groups which are homogeneous, in terms of a particular decomposition as a graph of groups - their JSJ decomposition. This is joint work with Chloe Perin.