A remark on Gelfand–Graev characters for finite simple groups

被引：0

作者：

A. E. Zalesski

机构：

[1] Università degli Studi di Milano-Bicocca,Dipartimento di Matematica e Applicazioni

来源：

Archiv der Mathematik | 2013年 / 100卷

关键词：

Primary 20C15; 20D06; 20D08; Gelfand–Graev character; Finite simple groups;

D O I：

暂无

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学科分类号：

摘要：

The famous Gelfand–Graev character of a group of Lie type G is a multiplicity free character of shape νG, where ν is a suitable degree 1 character of a Sylow p-subgroup and p is the defining characteristic of G. We show that, for an arbitrary non-abelian simple group G, if ν is a linear character of a Sylow p-subgroup of G such that νG is multiplicity free, then G is isomorphic to either a group of Lie type in defining characteristic p, or to a group PSL(2, q), where either p = q + 1, or p = 2 and q + 1 or q − 1 is a 2-power.

引用

页码：221 / 230

页数：9

共 8 条

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