12 citations · 52 across the 21 of their papers we have counts for
26 papers
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…
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.…
The sympathetic sceptics guide to semigroup representations
Brent Everitt
This is an elementary introduction to the representation theory of finite semigroups. We illustrate the Clifford-Munn correspondence between the representations of a semigroup and…
Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers
Brent Everitt, Paul Turner
We compute the sheaf homology of the intersection lattice of a hyperplane arrangement with coefficients in the graded exterior sheaf of the natural sheaf. This builds on the result…
Deletion-restriction for sheaf homology of graded atomic lattices
Brent Everitt, Paul Turner
We give a long exact sequence for the homology of a graded atomic lattice equipped with a sheaf of modules, in terms of the deleted and restricted lattices. This is then used to co…
Galois Theory - a first course
Brent Everitt
These notes are a self-contained introduction to Galois theory, designed for the student who has done a first course in abstract algebra.