ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS
ITÔ’S THEOREM AND MONOMIAL BRAUER CHARACTERS
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DOI：
10.1017/s0004972717000399
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发表时间：
2017-03
影响因子：
0.7
通讯作者：
Xiaoyou Chen;M. Lewis
中科院分区：
文献类型：
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作者：
Xiaoyou Chen;M. Lewis
设$G$是有限可解群，$p$是素数。证明了$p$不除以$G$的每个不可约单项式$p$-Brauer特征标$\Unicode[stix]{x1D711}(1)$当且仅当$G$有正规Sylow$p$-子群.
Let $G$ be a finite solvable group and let $p$ be a prime. In this note, we prove that $p$ does not divide $\unicode[STIX]{x1D711}(1)$ for every irreducible monomial $p$ -Brauer character $\unicode[STIX]{x1D711}$ of $G$ if and only if $G$ has a normal Sylow $p$ -subgroup.