pith. sign in

arxiv: 1707.06206 · v1 · pith:V2H2V5RVnew · submitted 2017-07-19 · 🧮 math.GR

Simple right conjugacy closed loops

classification 🧮 math.GR
keywords loopsclosedconjugacyconstructionrightsimplegeneralgive
0
0 comments X
read the original abstract

We give a general construction for right conjugacy closed loops, using $GL(2,q)$ for $q$ a prime power. Under certain conditions, the loops constructed are simple, giving the first general construction for finite, simple right conjugacy closed loops. We give a complete description of the isomorphism classes for the construction, yielding an exact count of non isomorphic loops for each $q$.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.