Lower degree bounds for modular vector invariants

Abstract

Let G be a finite group of order divisible by a prime p acting on an F vector space V, where F is the field with p elements and dimF V = n. Consider the diagonal action of G on m copies of V. This note sharpens a lower bound for β(F[ωmV]G) for groups which have an element of order p whose Jordan blocks have sizes at most 2. © 2006 American Mathematical Society.