Benjamin Brück (Bielefeld): Parabolic subgroups and spherical complexes for Out(RAAGs)
Thursday, 27.06.2019 11:00 im Raum SR 1D
The class of right-angled Artin groups (RAAGs) is often see as interpolating between free abelian and free groups. I will present a complex interpolating between two objects associated to these classes of groups: The Tits building of GL_n(Q) and the free factor complex. The key objects for the definition are parabolic subgroups in the outer automorphism group Out(A_\Gamma) of the corresponding RAAG. The resulting complex has the homotopy type of a wedge of spheres and its dimension is determined by the rank of a Weyl group group associated to Out(A_\Gamma).
(see https://arxiv.org/abs/1906.05606)
Angelegt am Monday, 17.06.2019 11:27 von Martina Pfeifer
Geändert am Monday, 17.06.2019 11:27 von Martina Pfeifer
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