Subfields of nondegenerate tame semiramified division algebras
Karim Mounirh, A. R. Wadsworth
TL;DR
This paper investigates the structure of subfields within nondegenerate tame semiramified division algebras over Henselian valued fields, revealing that many subfields are inertial extensions of the center.
Contribution
It demonstrates that in many cases, subfields of such division algebras are inertial extensions, providing new insights into their algebraic structure.
Findings
Subfields are often inertial extensions of the center.
Results apply to division algebras of prime power degree.
Enhances understanding of algebraic substructure in division algebras.
Abstract
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.
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Taxonomy
TopicsPolynomial and algebraic computation · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models