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Groups with few 𝑝’-character degrees in the principal block
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-08-05 , DOI: 10.1090/proc/15143 Eugenio Giannelli , Noelia Rizo , Benjamin Sambale , A. A. Schaeffer Fry
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-08-05 , DOI: 10.1090/proc/15143 Eugenio Giannelli , Noelia Rizo , Benjamin Sambale , A. A. Schaeffer Fry
Abstract:Let 
be a prime and let 
be a finite group. We prove that 
is 
-solvable of 
-length at most 
if there are at most two distinct 
-character degrees in the principal 
-block of 
. This generalizes a theorem of Isaacs-Smith as well as a recent result of three of the present authors.
中文翻译：
主块中具有with'字符度数少的组
摘要：让我们成为素数，让我们成为有限群。如果在的主块中最多存在两个不同的字符度，我们证明最大可解长度。这概括了艾萨克斯-史密斯定理，以及三个作者的最新结果。
更新日期：2020-08-05
be a prime and let be a finite group. We prove that is -solvable of -length at most if there are at most two distinct -character degrees in the principal -block of . This generalizes a theorem of Isaacs-Smith as well as a recent result of three of the present authors. 中文翻译：
主块中具有with'字符度数少的组
摘要：让我们
成为素数，让我们成为有限群。如果在的主块中最多存在两个不同的字符度，我们证明最大可解长度。这概括了艾萨克斯-史密斯定理，以及三个作者的最新结果。
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