Schur covers of skew braces

التفاصيل البيبلوغرافية
العنوان: Schur covers of skew braces
المؤلفون: Letourmy, T., Vendramin, L.
المصدر: J. Algebra 644 (2024), 609-654
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, Mathematics - K-Theory and Homology, Mathematics - Quantum Algebra, Mathematics - Rings and Algebras, 16T25, 81R50
الوصف: We develop the theory of Schur covers of finite skew braces. We prove the existence of at least one Schur cover. We also compute several examples. We prove that different Schur covers are isoclinic. Finally, we prove that Schur covers have the lifting property concerning projective representations of skew braces.
Comment: 34 pages. Postprint version
نوع الوثيقة: Working Paper
DOI: 10.1016/j.jalgebra.2024.01.021
URL الوصول: http://arxiv.org/abs/2302.03970
رقم الأكسشن: edsarx.2302.03970
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.jalgebra.2024.01.021