| 特征标次数与正规P－补 |
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| 引用本文： | 周后型.特征标次数与正规P－补[J].西南师范大学学报(自然科学版),1996(2). |
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| 作者姓名： | 周后型 |
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| 作者单位： | 西南师范大学数学系，东南大学数学系 |
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| 摘 要： | 证明了定理设Ｇ是一个有限群，ｐ是一个素数，Ｐ是Ｇ的一个Ｓｙｌｏｗｐ－群．那么，Ｇ的每一个非线性不可约特征标的次数被ｐ整除当且仅当Ｇ有正规ｐ－补，使得Ｏｒ（Ｇ）∩ＣＧ（Ｐ）为Ａｂｅｌ群并且｜Ｇ：Ｇ″｜＝｜Ｐ：Ｐ′｜·｜Ｏｒ′（Ｇ）∩ＣＧ（Ｐ）｜还研究了当Ｇ有正规ｐ－补时，Ｇ的全体线性特征标是如何分配在具有最高亏数的ｐ－块中的．
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| 关 键 词： | 正规P－补 特征标次数 P－块 亏数 高度 |
Character degrees and normal p-complements |
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| Zhou Honking.Character degrees and normal p-complements[J].Journal of Southwest China Normal University(Natural Science),1996(2). |
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| Authors: | Zhou Honking |
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| Abstract: | Let G be a finite group,p a fixed prime and p a Sylow p-subgroup of G.Then every nonlinear ir reducible character of G has a degree divisible by p if and only if G has a normal p-complement suchthat is abelian and It is also investigate that how all linear characters of G are distributed among the p-blocks of high est defect when G has a normal p-complement. |
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| Keywords: | normal p-complement character degree p-block defect height |
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