On permutation characters and Sylow p-subgroups of Sn

被引：8

作者：

Giannelli, Eugenio ^{[1
]}

Law, Stacey ^{[1
]}

机构：

[1] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WA, England

来源：

JOURNAL OF ALGEBRA | 2018年 / 506卷

关键词：

Symmetric groups; Sylow subgroups; Permutation characters; REPRESENTATIONS;

D O I：

10.1016/j.jalgebra.2018.04.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be an odd prime and let n be a natural number. In this article we determine the irreducible constituents of the permutation module induced by the action of the symmetric group on the cosets of a Sylow p-subgroup As a consequence, we determine the number of irreducible representations of the corresponding Hecke algebra H(S-n, P-n, 1P(n)). (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：409 / 428

页数：20

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