Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic

التفاصيل البيبلوغرافية
العنوان: Jordan constants of quaternion algebras over number fields and simple abelian surfaces over fields of positive characteristic
المؤلفون: Hwang, WonTae
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, Mathematics - Algebraic Geometry, Mathematics - Number Theory, 20E07, 11R52, 11G10, 14G17, 14K02
الوصف: We compute and provide a detailed description on the Jordan constants of the multiplicative subgroup of quaternion algebras over number fields of small degree. As an application, we determine the Jordan constants of the multiplicative subgroup of the endomorphism algebras of simple abelian surfaces over fields of positive characteristic.
Comment: Any comments will be appreciated. arXiv admin note: text overlap with arXiv:2002.05535, arXiv:1901.04470, arXiv:2002.12353, arXiv:1809.06251. Introduction is slightly modified according to thankful comments. One thing is fixed regarding the Jordan constant of the binary tetrahedral group
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2004.03594
رقم الأكسشن: edsarx.2004.03594
قاعدة البيانات: arXiv