Simon Gritschacher

activity

20172021

collaborators

4 papers

math.GR2021

On families of nilpotent subgroups and associated coset posets

Simon Gritschacher, Bernardo Villarreal

We study some properties of the coset poset associated with the family of subgroups of class $\leq 2$ of a nilpotent group of class $\leq 3$ . We prove that under certain assumption…

math.AT2018

Commuting matrices and Atiyah's Real K-theory

Simon Gritschacher, Markus Hausmann

We describe the $C_{2}$ -equivariant homotopy type of the space of commuting n-tuples in the stable unitary group in terms of Real K-theory. The result is used to give a complete calc…

math.AT2018

Classifying spaces for commutativity of low-dimensional Lie groups

Omar Antolín-Camarena, Simon Gritschacher, Bernardo Villarreal

For each of the groups $G = O (2), S U (2), U (2)$ , we compute the integral and $F_{2}$ -cohomology rings of $B_{com} G$ (the classifying space for commutativity of $G$ ), th…

math.AT2017

A remark on the group-completion theorem

Simon Gritschacher

Suppose that $M$ is a topological monoid satisfying $π_{0} M = N$ to which the McDuff-Segal group-completion theorem applies. This implies that a certain map $f: \mathbb{M}_{\i…