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ArticleSethuraman, BharathLet F be a Henselian valued field with char(F) =/2, and let S be an inertially split Fcentral division algebra with involution sigma* that is trivial on an inertial lift in S of the field Z(S). We prove necessary and sufficient conditions for S to co . . .


ArticleSethuraman, BharathIn this paper we construct Baer ordered indecomposable division algebras of index p n and exponent p m for all primes p and for all n m, with n>m?1 (n?3 if p=2).


ArticleMorandi, Patrick J.Let Z/F be an inertial Galois extension of Henselian valued fields, and let D be a Zcentral division algebra. Let G be a finite group acting on Z with fixed field F. We show that every generalized cocycle of G with values in the oneunits of D is coh . . .

ArticleMorandi, Patrick J.In this paper we construct Baer ordered indecomposable division algebras of index p n and exponent p m for all primes p and for all n m, with n>m≥1 (n≥3 if p=2).

ArticleMorandi, Patrick J.Let nm be positive integers with the same prime factors, such that p^3n 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 involu . . .

ArticleMorandi, Patrick J.We study the following question in this paper: If p is a prime, m a positive integer, and S = (sm,...,s1) an arbitrary sequence consisting of "Y " or "N," does there exist a division algebra of exponent pm over a valued field (F , v) such that the und . . .
