SEMINARIO TEORÍA DE GRUPOS

Computations of Bredon homology of Artin groups of Dihedral type

Ponente: Yago Antolín (ICMAT-UCM)

Fecha: Jueves, 03 de febrero de 2022 - 11:30

Lugar: Aula Naranja, ICMAT

Resumen:

An Artin group of Dihedral type is a group with a presentation consisting on two generators, x and y and a single relation of the form (xy)^n = (yx)^n or  y(xy)^n = x (yx)^n. We will make some computations of the Bredon Homology of these groups with respect to the family of virtually cyclic subgroups. We then will use this computations to obtain a information about K-theory groups of the group ring of a dihedral Artin group using the Farrell-Jones isomorphism. This is a joint work with Ramón Flores.