PROJECTIVE SCHUR DIVISION-ALGEBRAS ARE ABELIAN CROSSED-PRODUCTS

Let k be a field. A projective Schur Algebra over k is a finite-dimens ional k-central simple algebra which is a homomorphic image of a twist ed group algebra k(alpha)G with G a finite group and alpha is-an-eleme nt-of H-2(G, k ). The main result of this paper is that every project ive Schur division algebra is an abelian crossed product (K/k, f), whe re K is a radical extension of k. (C) 1994 Academic Press, Inc.