Division algebras with the same maximal subfields
Rings and Algebras
2015-06-11 v1 Algebraic Geometry
Number Theory
Abstract
We give a survey of recent results related to the problem of characterizing finite-dimensional division algebras by the set of isomorphism classes of their maximal subfields. We also discuss various generalizations of this problem and some of its applications. In the last section, we extend the problem to the context of absolutely almost simple algebraic groups.
Cite
@article{arxiv.1501.04027,
title = {Division algebras with the same maximal subfields},
author = {Vladimir I. Chernousov and Andrei S. Rapinchuk and Igor A. Rapinchuk},
journal= {arXiv preprint arXiv:1501.04027},
year = {2015}
}