Right Nilpotency of Braces of Cardinality $p^4$
Rings and Algebras
2022-05-25 v2 Group Theory
Quantum Algebra
Abstract
We determine right nilpotency of braces of cardinality . If a brace of cardinality has an abelian multiplicative group, then it is left and right nilpotent, so we only consider braces with non-abelian multiplicative groups. We show right nilpotency in all cases using the sufficient condition of for some central element of a brace .
Cite
@article{arxiv.2112.15041,
title = {Right Nilpotency of Braces of Cardinality $p^4$},
author = {Dora Puljić},
journal= {arXiv preprint arXiv:2112.15041},
year = {2022}
}