Brauer characters and normal Sylow p-subgroups
Brauer characters and normal Sylow p-subgroups
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DOI：
10.1016/j.jalgebra.2018.02.011
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发表时间：
2018-02
影响因子：
0.9
通讯作者：
T. P. Hung
中科院分区：
文献类型：
--
作者：
T. P. Hung
本文利用有限群的p-Brauer特征标度的各种不等式，研究了著名的关于p-Brauer特征标的Itô-Michler定理的一些变形.利用p-Brauer特征标度的p-部分和p′-部分，得到了有限群的正规Sylow p-子群存在的几个新判据.
In this paper, we study some variations of the well-known Itô–Michler theorem for p-Brauer characters using various inequalities involving the p-Brauer character degrees of finite groups. Several new criteria for the existence of a normal Sylow p-subgroup of finite groups are obtained using the p-parts and p′-parts of the p-Brauer character degrees.