B. Everitt

collaborators

2 papers

math.GR2026

Clique complexes of groups and order sheaves

Michael Bate, Brent Everitt, Sam Ford

We study the clique complex $X_{G}$ of a finite group: a simplicial complex whose faces are in one-to-one correspondence with the elements of the group, and arise via a decomposition…

math.GR2025

Homology of matching complexes and representations of symmetric groups

Michael Bate, Brent Everitt, Sam Ford +1

We compute the homology of the matching complex $M (I^)$ , where $I^$ is the complete hypergraph on $n \geq 2$ vertices, and analyse the $S_{n}$ -representations carried by this homology…