Edinburgh Research Explorer

Certain Simple Maximal Subfields in Division Rings

Research output: Working paper

Original languageEnglish
PublisherArXiv
Number of pages6
StateSubmitted - 28 Aug 2017

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 ∈ D(n), the n-th multiplicative derived subgroup, such that F(a) is a maximal subfield of D. We also show the statement holds valid if we replace D(n) with Dn, the n-th additive derived subgroup in case D is of characteristic zero.

ID: 43908234