Supernilpotent groups and $3$-supernilpotent loops
Group Theory
2023-03-03 v2
Abstract
We find a short equational basis for the variety of -supernilpotent loops. We also present a conceptually simple proof that -nilpotence and -supernilpotence are equivalent for groups. Connections between -supernilpotent loops, Moufang loops, code loops, automorphic loops and AIM loops are explored.
Keywords
Cite
@article{arxiv.2209.08128,
title = {Supernilpotent groups and $3$-supernilpotent loops},
author = {David Stanovský and Petr Vojtěchovský},
journal= {arXiv preprint arXiv:2209.08128},
year = {2023}
}