تقرير
Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension
| العنوان: | Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension |
|---|---|
| المؤلفون: | Tsang, Cindy |
| المصدر: | Bull. Lond. Math. Soc. 55 (2023), no.5, 2324-2340 |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Number Theory, Mathematics - Rings and Algebras |
| الوصف: | We determine the finite non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension. In the language of skew braces, our result gives a complete list of finite non-abelian simple groups which occur as the additive group of a skew brace with solvable multiplicative group. Comment: 21 pages; introduction expanded and some remarks added based on referee's suggestions |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1112/blms.12860 |
| URL الوصول: | http://arxiv.org/abs/2210.14689 |
| رقم الأكسشن: | edsarx.2210.14689 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1112/blms.12860 |
|---|