Irreducible restrictions of representations of symmetric and alternating groups in small characteristics

被引：0

作者：

Kleshchev, Alexander ^{[1
]}

Morotti, Lucia ^{[2
]}

Pham Huu Tiep ^{[3
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Leibniz Univ Hannover, Inst Algebra, Zahlentheorie & Diskrete Math, D-30167 Hannover, Germany

[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

ADVANCES IN MATHEMATICS | 2020年 / 369卷

关键词：

Symmetric groups; Alternating groups; Modular representations; Irreducible restrictions; MODULAR-REPRESENTATIONS; BRANCHING-RULES; PROJECTIVE-REPRESENTATIONS; MINIMAL POLYNOMIALS; PERMUTATION-GROUPS; MAXIMAL-SUBGROUPS; DIMENSIONS; PARTITIONS; ELEMENTS;

D O I：

10.1016/j.aim.2020.107184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Building on reduction theorems and dimension bounds for symmetric groups obtained in our earlier work, we classify the irreducible restrictions of representations of the symmetric and alternating groups to proper subgroups. Such a classification is known when the characteristic of the ground field is greater than 3, but the small characteristics cases require a substantially more delicate analysis and new ideas. Our results fit into the Aschbacher-Scott program on maximal subgroups of finite classical groups. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：66

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