Maximal orders containing local crossed-products

Abstract

Let Λ = ( S R , α) be the crossed product order in the crossed product algebra A = ( L K , α) with factor set α, where L K is a Galois extension of the local field K, and R (resp. S) the valuation ring of K (resp. L). In this paper the maximal R-orders in A containing Λ and the irreducible Λ-lattices are determined.