论文标题
最大程度的正常单位p组的性格程度
Character degrees of normally monomial p-groups of maximal class
论文作者
论文摘要
有限的$ g $通常是$ $〜单一$，如果其所有不可约字符都是由$ g $的普通亚组的线性字符引起的。在本文中，我们确定了正常单一的5组最大等级的所有可能的不可约性特征度。此外，我们以$ p $的最大最大$ p $ - 最大级别的最大不可约性角色程度给予上限。
A finite group $G$ is $normally ~monomial$ if all its irreducible characters are induced from linear characters of normal subgroups of $G$. In this paper, we determine all possible irreducible character degree sets of normally monomial 5-groups of maximal class. Moreover, we give an upper bound for the largest irreducible character degree of normally monomial $p$-groups of maximal class in terms of $p$.
