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Lower degree bounds for modular vector invariants
2007
Proceedings of the American Mathematical Society
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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 dim F V = n. Consider the diagonal action of G on m copies of V. This note sharpens a lower bound for β(F[⊕ m V ] G ) for groups which have an element of order p whose Jordan blocks have sizes at most 2.
doi:10.1090/s0002-9939-06-08574-1
fatcat:jb7qvqfg5ff65irl4q6qg6h75e