Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

An arithmetic obstruction to division algebra decomposability

Author(s): Eric S. Brussel
Journal: Proc. Amer. Math. Soc. 128 (2000), 2281-2285.
MSC (1991): Primary 16K20; Secondary 11R37
Posted: February 21, 2000
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: This paper presents an indecomposable finite-dimensional division algebra of -power index that decomposes over a prime-to- degree field extension, obtained by adjoining -th roots of unity to the base. This shows that the theory of decomposability has an arithmetic aspect.

References:

[AT]: Artin, E., Tate, J.: Class Field Theory, Addison-Wesley, Reading, Mass., 1967. MR 36:6383
[B]: Brussel, E.: Division algebras over Henselian fields of rank two, (in preparation).
[K]: Karpenko, N.: Torsion in $CH^{2}$ of Severi-Brauer varieties and indecomposability of generic algebras, Manuscripta Math. 88 (1995), 109-117. MR 96g:14007
[Sa]: Saltman, D.: Finite dimensional division algebras. Azumaya Algebras, Actions, and Modules, (D. Haile and J. Osterburg, eds.), Contemporary Math. Vol. 124, Amer. Math. Soc., Providence, R.I., 1992, 203-214. MR 93a:16014
[Se]: Serre, J.-P: Local Fields, Springer Verlag, New York, 1979. MR 82e:12016


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS