8 citations · 10 across the 5 of their papers we have counts for
5 papers
Modular group actions on algebras and p-local Galois extensions for finite groups
Peter Fleischmann, Chris Woodcock
Let k be a field of positive characteristic p and let G be a finite group. In this paper we study the category TsG of finitely generated commutative k-algebras A on which G acts by…
Free group actions on varieties and the category of modular Galois Extensions for finite p-groups
Peter Fleischmann, Christopher Woodcock
It is known that a finite group G can only act freely on affine n-space if K has positive characteristic p and G is a p-group. In that case the group action is "non-linear" and the…
Relative Invariants, Ideal Classes and Quasi-Canonical Modules of Modular Rings of Invariants
Peter Fleischmann, Chris Woodcock
We describe "quasi canonical modules" for modular invariant rings of finite group actions on factorial Gorenstein domains. From this we derive a general "quasi Gorenstein crite…
Non-linear Group Actions with Polynomial Invariant Rings and a Structure Theorem for Modular Galois Extensions
Peter Fleischmann, Chris Woodcock
Let be a finite -group and a field of characteristic . We show that has a \emph{non-linear} faithful action on a polynomial ring of dimension $n=\mathrm{log…
The Noether numbers for cyclic groups of prime order
P. Fleischmann, M. Sezer, R. J. Shank +1
The Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants. We compute the Noether…