2 papers
math.AC2018
Two inquiries about finite groups and well-behaved quotients
Ben Blum-Smith
This thesis addresses questions in representation and invariant theory of finite groups. The first concerns singularities of quotient spaces under actions of finite groups. We intr…
math.AC2018
When are permutation invariants Cohen-Macaulay over all fields?
Ben Blum-Smith, Sophie Marques
We prove that the polynomial invariants of a permutation group are Cohen-Macaulay for any choice of coefficient field if and only if the group is generated by transpositions, doubl…