Subfields of Nondegenerate Tame Semiramified Division Algebras

We show in this article that in many cases the subfields of a nondegenerate tame semiramified division algebra of prime power degree over a Henselian valued field are inertial field extensions of the center (Theorems 2.5, 2.12, and Proposition 2.16).

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Bibliographic Details
Published in:Communications in algebra 2011-02, Vol.39 (2), p.462-485
Main Authors: Mounirh, Karim, Wadsworth, A. R.
Format: Article
Language:English
Subjects:
(Graded) Brauer group
Algebra
Division
Graded division algebras
Henselization
Inertial
Theorems
Valued division algebras
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Summary:We show in this article that in many cases the subfields of a nondegenerate tame semiramified division algebra of prime power degree over a Henselian valued field are inertial field extensions of the center (Theorems 2.5, 2.12, and Proposition 2.16).
ISSN:0092-7872
1532-4125
DOI:10.1080/00927871003591926