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arXiv · 1103.0470

Mal'cev-Neumann rings and noncrossed product division algebras

Cécile Coyette
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Abstract

We first give a sufficient condition for a Mal'cev-Neumann ring of formal series to be a noncrossed product division algebra. This result is then used to give an elementary proof of the existence of noncrossed product division algebras (of degree 8 or degree p^2 for p any odd prime).

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Cécile Coyette. 2011-03-02. Mal'cev-Neumann rings and noncrossed product division algebras. https://arxiv.org/abs/1103.0470

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