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math.GR2026
Clique complexes of groups and order sheaves
Michael Bate, Brent Everitt, Sam Ford
We study the clique complex 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 , where is the complete hypergraph on vertices, and analyse the -representations carried by this homology…