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
收藏
页码：237 / 251
页数：15
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