Simple right conjugacy closed loops
Group Theory
2017-07-20 v1
Abstract
We give a general construction for right conjugacy closed loops, using for 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 .
Keywords
Cite
@article{arxiv.1707.06206,
title = {Simple right conjugacy closed loops},
author = {Mark Greer},
journal= {arXiv preprint arXiv:1707.06206},
year = {2017}
}