تقرير
On the number of quaternion and dihedral braces and Hopf--Galois structures
| العنوان: | On the number of quaternion and dihedral braces and Hopf--Galois structures |
|---|---|
| المؤلفون: | Byott, Nigel P., Ferri, Fabio |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, Mathematics - Group Theory, Mathematics - Number Theory, 20N99 (Primary) 16T05, 12F10, 16T25 (Secondary) |
| الوصف: | We prove a conjecture of Guarnieri and Vendramin on the number of braces of a given order whose multiplicative group is a generalised quaternion group. At the same time, we give a similar result where the multiplicative group is dihedral. We also enumerate Hopf-Galois structures of abelian type on Galois extensions with generalised quaternion or dihedral Galois group. Comment: 25 pages. Additional references included |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.12547 |
| رقم الأكسشن: | edsarx.2402.12547 |
| قاعدة البيانات: | arXiv |
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