Certain Simple Maximal Subfields in Division Rings
Rings and Algebras
2019-05-20 v2
Abstract
Let D be a division ring finite dimensional over its center F. The goal of this paper is to prove that for any positive integer n there exists a in D^(n); the n-th multiplicative derived subgroup, such that F(a) is a maximal subfield of D. We also show that a single depth-n iterated additive commutator would generate a maximal subfield of D.
Cite
@article{arxiv.1708.08385,
title = {Certain Simple Maximal Subfields in Division Rings},
author = {Mehdi Aaghabali and Mai Hoang Bien},
journal= {arXiv preprint arXiv:1708.08385},
year = {2019}
}
Comments
We have made some editorial changes as well as changes in Lemma 9 and Theorem 10