On skew braces and their ideals (with an Appendix by Agata Smoktunowicz)
Rings and Algebras
2021-09-08 v6 Group Theory
Quantum Algebra
Abstract
We define combinatorial representations of finite skew braces and use this idea to produce a database of skew braces of small size. This database is then used to explore different concepts of the theory of skew braces such as ideals, series of ideals, prime and semiprime ideals, Baer and Wedderburn radicals and solvability. The paper contains several questions.
Keywords
Cite
@article{arxiv.1804.04106,
title = {On skew braces and their ideals (with an Appendix by Agata Smoktunowicz)},
author = {A. Konovalov and A. Smoktunowicz and L. Vendramin},
journal= {arXiv preprint arXiv:1804.04106},
year = {2021}
}
Comments
Statements of Lemma 4.27, Theorem 4.28, Corollary 4.29 and the second line of its proof were corrected - it is now written "two-sided brace" instead of "skew brace"