Even degree characters in blocks of symmetric and alternating groups

被引：0

作者：

Giannelli, Eugenio ^{[1
]}

Mecacci, Niccolo ^{[2
]}

机构：

[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Florence, Italy

[2] Berg Univ Wuppertal, Gaussstr 20, D-42119 Wuppertal, Germany

来源：

JOURNAL OF ALGEBRA | 2025年 / 677卷

关键词：

Character theory; Block theory; Symmetric groups; Partitions;

D O I：

10.1016/j.jalgebra.2025.03.038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for every odd prime number p, every p-block of positive defect of a symmetric group admits irreducible characters of even degree. A similar result is obtained for alternating groups. (c) 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).

引用

页码：237 / 251

页数：15

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