Classification of generalized Alexander quandles

التفاصيل البيبلوغرافية
العنوان: Classification of generalized Alexander quandles
المؤلفون: Higashitani, Akihiro, Kamada, Seiichi, Kosaka, Jin, Kurihara, Hirotake
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Geometric Topology, Mathematics - Group Theory, Primary, 20N02, Secondary: 20B05, 53C35
الوصف: The aim of this paper is to provide a new characterization of isomorphism classes of generalized Alexander quandles in terms of the underlying groups and their automorphisms. This extends the previous result [4, Theorem 1.4]. Additionally, we compute the number of generalized Alexander quandles up to quandle isomorphism arising from groups up to order 127 and their group automorphisms.
Comment: 12 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.01074
رقم الأكسشن: edsarx.2406.01074
قاعدة البيانات: arXiv