Work

On division algebras having the same maximal subfields

Year: 2009

Type: preprint

Abstract: We address the problem of when two finite dimensional central division algebras over the same field are necessarily isomorphic given that they have the same maximal subfields.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0910.3368

Authors: Rapinchuk, A. S., Rapinchuk, I. A.

Institutions: Yale University, University of Virginia

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Normal Subgroups of the Groups of Rational Points of Algebraic Groups, Congruence Subgroup Problem, and Related Topics

OpenAlex ID: W2952903570

Cites: 5

Cited by: 2

Related to: 10