Enumeration of left braces with additive group $C_2\times C_2\times C_4\times C_4$

التفاصيل البيبلوغرافية
العنوان: Enumeration of left braces with additive group $C_2\times C_2\times C_4\times C_4$
المؤلفون: Ballester-Bolinches, A., Esteban-Romero, R., Pérez-Calabuig, V.
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, Mathematics - Rings and Algebras, 16T25, 81R50, 20-08
الوصف: We show that the number of isomorphism classes of left braces of order~$64$ with additive group isomorphic to $C_2\times C_2\times C_4\times C_4$ is $10\,326\,821$. This completes the classification of left braces of order~$64$, that turn out to fall into $15\,095\,601$ isomorphism classes.
Comment: Ric. Mat., in press. 9 pages. arXiv admin note: substantial text overlap with arXiv:2210.12823
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2212.03167
رقم الانضمام: edsarx.2212.03167
قاعدة البيانات: arXiv