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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An arithmetic obstruction to division algebra decomposability


Author: Eric S. Brussel
Journal: Proc. Amer. Math. Soc. 128 (2000), 2281-2285
MSC (1991): Primary 16K20; Secondary 11R37
Published electronically: February 21, 2000
MathSciNet review: 1662237
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Abstract: This paper presents an indecomposable finite-dimensional division algebra of $p$-power index that decomposes over a prime-to-$p$ degree field extension, obtained by adjoining $p$-th roots of unity to the base. This shows that the theory of decomposability has an arithmetic aspect.


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Additional Information

Eric S. Brussel
Affiliation: Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322
Email: brussel@mathcs.emory.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05296-5
PII: S 0002-9939(00)05296-5
Received by editor(s): June 10, 1998
Received by editor(s) in revised form: October 6, 1998
Published electronically: February 21, 2000
Communicated by: Ken Goodearl
Article copyright: © Copyright 2000 American Mathematical Society