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Non-crossed products over function fields

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Abstract:

Noncrossed product division algebras are constructed over all function fields and iterated power series fields over global fields, using Hilbert's Irreducibility Theorem and the construction of [B]. Minimum indexes obtained are p 2 for odd p and 23 otherwise. Examples are obtained with large index to exponent ratio.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA. e-mail: brussel@mathcs.emory.edu, , , , , , US

    E. S. Brussel

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  1. E. S. Brussel
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Received: 12 February 2001 / Revised version: 26 November 2001

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Brussel, E. Non-crossed products over function fields. manuscripta math. 107, 343–353 (2002). https://doi.org/10.1007/s002290100239

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  • DOI: https://doi.org/10.1007/s002290100239

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