Leendert Bleijenga | Searcharxiv

arXiv2014

A Useful Property of the Finite Nonabelian Groups

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.

math.HO↗

arXiv2012

MPLS = Mutually Projective Latin Squares

We will see that every finite projective plane of order k > 1 gives rise to a complete set of (k-1) MPLS (= mutually projective latin squares) of order k and by reversing the process we can construct a finite projective plane of order k when a complete set of (k-1) MPLS of order k is given.

math.CO↗