The blocks with four irreducible characters

被引：1

作者：

Martinez, J. Miquel ^{[1
]}

Rizo, Noelia ^{[2
]}

Sanus, Lucia ^{[1
]}

机构：

[1] Univ Valencia, Dept Matemat, Valencia, Spain

[2] Univ Oviedo, Dept Matemat, Univ Pais Vasco, Oviedo, Spain

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2023年 / 55卷 / 02期

关键词：

PRIMITIVE PERMUTATION-GROUPS; FINITE-GROUPS; NUMBER;

D O I：

10.1112/blms.12747

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that B$B$ is a Brauer p$p$-block of a finite group with defect group D$D$. If B$B$ exactly contains four ordinary irreducible characters, then we show that D$D$ has order four or five, assuming the Alperin-McKay conjecture holds for B$B$.

引用

页码：658 / 667

页数：10

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