Even degree characters in blocks of symmetric and alternating groups

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-04-11 DOI:10.1016/j.jalgebra.2025.03.038

Eugenio Giannelli , Niccolò Mecacci

引用次数: 0

Abstract

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.

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对称和交替分组块中的偶数度字符

证明了对于每一个奇素数p，对称群的每一个正缺陷的p块都有偶次不可约的性质。交替组也得到了类似的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.