On the number of the irreducible characters of factor groups
عنوان مقاله: On the number of the irreducible characters of factor groups
شناسه ملی مقاله: JR_THEGR-2-2_003
منتشر شده در در سال 1392
شناسه ملی مقاله: JR_THEGR-2-2_003
منتشر شده در در سال 1392
مشخصات نویسندگان مقاله:
Amin Saeidi - Tarbiat Moallem University
خلاصه مقاله:
Amin Saeidi - Tarbiat Moallem University
Let G be a finite group and let N be a normal subgroup of G. Suppose that {\rm{Irr}} (G | N) is the set of the irreducible characters of G that contain N in their kernels. In this paper, we classify solvable groups G in which the set \mathcal{C} (G) = \{{\rm{Irr}} (G | N) | ۱ \ne N \trianglelefteq G \} has at most three elements. We also compute the set \mathcal{C}(G) for such groups.
کلمات کلیدی: Irreducible characters, Conjugacy classes, minimal normal subgroups, Frobenius groups
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199581/