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On skew braces and their ideals

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https://arxiv.org/abs/1804.04106
Original languageEnglish
Number of pages15
JournalExperimental mathematics
Early online date22 Dec 2018
DOIs
Publication statusE-pub ahead of print - 22 Dec 2018

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.

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