Noncrossed Product Division Algebras with a Baer Ordering

Abstract

Abstract. Let n \ m be positive integers with the same prime factors, such that pi | n for some prime p . We construct a noncrossed product division algebra D with involution *, of index m and exponent n, such that D possesses a Baer ordering relative to the involution * . Using similar techniques we construct indecomposable division algebras with involution possessing a Baer ordering.