English

On division algebras having the same maximal subfields

Rings and Algebras 2009-12-29 v2 Number Theory

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.

Keywords

Cite

@article{arxiv.0910.3368,
  title  = {On division algebras having the same maximal subfields},
  author = {A. S. Rapinchuk and I. A. Rapinchuk},
  journal= {arXiv preprint arXiv:0910.3368},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-06-21T13:59:48.507Z