Browsing by Subject "Modular representation"
Now showing 1 - 2 of 2
Results Per Page
Sort Options
Item Open Access Degree bounds for modular covariants(De Gruyter, 2020) Elmer, J.; Sezer, MüfitLet V, W be representations of a cyclic group G of prime order p over a field k of characteristic p. The module of covariants k[V, W]G is the set of G-equivariant polynomial maps V → W, and is a module over k[V ]G. We give a formula for the Noether bound β(k[V, W]G, k[V ]G), i.e. the minimal degree d such that k[V, W]G is generated over k[V ]G by elements of degree at most dItem Open Access The invariants of modular indecomposable representations of ℤ p 2(Springer, 2008) Neusel, M. D.; Sezer, M.We consider the invariant ring for an indecomposable representation of a cyclic group of order p 2 over a field of characteristic p. We describe a set of -algebra generators of this ring of invariants, and thus derive an upper bound for the largest degree of an element in a minimal generating set for the ring of invariants. This bound, as a polynomial in p, is of degree two. © 2008 Springer-Verlag.