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math.GR2019
Rigidity of the Torelli subgroup in
Sebastian Hensel, Camille Horbez, Richard D. Wade
Let be at least 4. We prove that every injective homomorphism from the Torelli subgroup into differs from the inclusion by a conjugation in . This applies…
math.GR2019
Commensurations of subgroups of
Camille Horbez, Richard D. Wade
A theorem of Farb and Handel asserts that for , the natural inclusion from into its abstract commensurator is an isomorphism. We give a new proof of the…
math.GR2019
Boundaries of relative factor graphs and subgroup classification for automorphisms of free products
Vincent Guirardel, Camille Horbez
Given a countable group splitting as a free product , we establish classification results for subgroups of the group of all…