A Useful Property of the Finite Nonabelian Groups
History and Overview
2014-03-20 v4 Rings and Algebras
Abstract
In version v1 (under a different title) I was trying to give a new proof of Wedderburn's Little Theorem (WLT), stating that a finite dision ring is commutative, but I failed. So I had to withdraw the paper (version v2). Firstly I became aware of a new theorem. So in the mean time in version v3 under a new title (see top of this page) I proved a useful property of the finite nonabelian groups stating that one of its maximally abelian subgroups is not an eigenheimer. In the present version v4 I prove finally WLT in a new section 2 entitled: A New Proof of Wedderburn's Little Theorem: A Finite Division Ring is Commutative.
Keywords
Cite
@article{arxiv.1106.3825,
title = {A Useful Property of the Finite Nonabelian Groups},
author = {Leendert Bleijenga},
journal= {arXiv preprint arXiv:1106.3825},
year = {2014}
}
Comments
7 pages. In this version V4 we present in a new section 2 a new proof of Wedderburn's Little Theorem