On the restriction of irreducible characters of symmetric groups to Sylow p-subgroups

被引：3

作者：

Giannelli, Eugenio ^{[1
]}

机构：

[1] Univ Cambridge, Trinity Hall,Trinity Lane, Cambridge CB2 1TJ, England

来源：

JOURNAL OF ALGEBRA | 2017年 / 483卷

关键词：

Symmetric groups; Restriction of characters; Sylow p-subgroups;

D O I：

10.1016/j.jalgebra.2017.03.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the restriction to a Sylow 3-subgroup of any irreducible character of the symmetric group has always a linear constituent. We conjecture that this should hold for all Sylow p-subgroups, where p is any prime number. Crown Copyright (C) 2017 Published by Elsevier Inc. All rights reserved.

引用

页码：37 / 57

页数：21