researchseminars.org

Philip Hackney (University of Louisiana at Lafayette)
2024-04-22 13:00 - 14:00 UTC | https://researchseminars.org/talk/BilTop/84/
Title: Partial groups and symmetric simplicial sets (https://researchseminars.org/talk/BilTop/84/)
by Philip Hackney (University of Louisiana at Lafayette) as part of Bilkent Topology Seminar

Lecture held in SA 141.

Abstract
Partial groups are a generalization of groups which allow for the possibility that some n-fold products of elements may be undefined. They were introduced by Chermak to serve in the study of the p-local structure of a finite group. These partial groups may be viewed as certain simplicial sets, or better yet, as certain symmetric simplicial sets. I'll explain this viewpoint, as well as some implications. I will also touch on the question about which partial groups are higher Segal spaces. This is joint work with Justin Lynd.
