3 papers
math.GR2020
Automorphic loops and metabelian groups
Mark Greer, Lee Raney
Given a uniquely 2-divisible group , we study a commutative loop which arises as a result of a construction in \cite{baer}. We investigate some general properties an…
math.GR2019
Complete graph decompositions and p-groupoids
John Carr, Mark Greer
We study P-groupoids that arise from certain decompositions of complete graphs. We show that left distributive P-groupoids are distributive, quasigroups. We characterize P-groupoid…
math.GR2017
Simple right conjugacy closed loops
Mark Greer
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…