A nilpotency criterion related to the minimal degree of a nonlinear irreducible character

作者：Zhou, Feng^*; Liu, Heguo

来源：Journal of Algebra and Its Applications, 2017, 16(6): 1750102.

DOI：10.1142/S021949881750102X

• Finite groups
• nilpotent
• character degree
• minimal degree

Let G be a finite nonabelian group, let f(G) be the minimal degree of a nonlinear irreducible character of G and suppose that vertical bar G(n+1)vertical bar <= f(G) for some positive integer n. Then G is nilpotent.

• 出版日期2017-6
• 单位湖北大学