A GENERALIZATION OF MURAI'S CONJECTURE

被引：0

作者：

Liu, Yanjun ^{[1
]}

Willems, Wolfgang ^{[2
,3
]}

Xiong, Huan ^{[4
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang, Peoples R China

[2] Otto von Guericke Univ, Fak Math, Magdeburg, Germany

[3] Univ Norte, Dept Matemat, Barranquilla, Colombia

[4] Harbin Inst Technol, Inst Adv Study Math, Heilongjiang, Peoples R China

来源：

OSAKA JOURNAL OF MATHEMATICS | 2024年 / 61卷 / 01期

基金：

国家重点研发计划;

关键词：

NUMBER; CHARACTERS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize Murai's conjecture on an upper bound for the number of irreducible p-Brauer characters in the principal block to an arbitrary block. We prove that the new conjecture has an affirmative answer for tame blocks and blocks with cyclic defect groups. In addition we confirm Murai's conjecture for symmetric and alternating groups.

引用

页码：107 / 119

页数：13

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