Noncrossed product division algebras with a Baer ordering

Morandi, Patrick J.; Sethuraman, B. A.

doi:10.1090/S0002-9939-1995-1246532-6

Noncrossed product division algebras with a Baer ordering
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by Patrick J. Morandi and B. A. Sethuraman

Proc. Amer. Math. Soc. 123 (1995), 1995-2003

DOI: https://doi.org/10.1090/S0002-9939-1995-1246532-6

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Abstract:

Let $n|m$ be positive integers with the same prime factors, such that ${p^3}|n$ for some prime p. We construct a noncrossed product division algebra D with involution $\ast$, of index m and exponent n, such that D possesses a Baer ordering relative to the involution $\ast$. Using similar techniques we construct indecomposable division algebras with involution possessing a Baer ordering.

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