Skew braces of size p2q II: Non-abelian type
| Autor: | Marco Bonatto, E. Acri |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Yang–Baxter equation Applied Mathematics 010102 general mathematics Astrophysics::Instrumentation and Methods for Astrophysics Skew 16T25 81R50 Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Group Theory (math.GR) Mathematics - Rings and Algebras 0102 computer and information sciences Type (model theory) 01 natural sciences Rings and Algebras (math.RA) 010201 computation theory & mathematics Holomorph Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) Computer Science::General Literature 0101 mathematics Abelian group Mathematics - Group Theory Mathematics |
| Zdroj: | Journal of Algebra and Its Applications. 21 |
| ISSN: | 1793-6829 0219-4988 |
| DOI: | 10.1142/s0219498822500621 |
| Popis: | In this paper we enumerate the skew braces of non-abelian type of size $p^2q$ for $p,q$ primes with $q>2$ by the classification of regular subgroups of the holomorph of the non-abelian groups of the same order. Since Crespo dealt with the case $q=2$, this paper completes the enumeration of skew braces of size $p^2q$ started in a previous work by the authors. In some cases, we provide also a structural description of the skew braces. As an application, we prove a conjecture posed by V. Bardakov, M. Neshchadim and M. Yadav. 37 pages, 20 tables. We split a previous work arXiv:1912.11889 improving results and adding a treatment for the even case. v2: v2: arXiv identifier of our preprint on skew braces of size $p^2q$ of abelian type now included. v3: 43 pages, 20 tables, final version with significant improvements, to appear in Journal of Algebra and Its Applications |
| Databáze: | OpenAIRE |
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