On the Malle-Navarro conjecture for 2-and 3-blocks of general linear and unitary groups

被引：0

作者：

Brenner, Sofia ^{[1
]}

机构：

[1] Friedrich Schiller Univ, Inst Math, Ernst Abbe Pl 2, D-07743 Jena, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 01期

关键词：

Characters in blocks; Malle-Navarro conjecture; special linear groups; BLOCKS; CHARACTERS;

D O I：

10.1080/00927872.2020.1801707

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Malle-Navarro conjecture relates central block theoretic invariants in two inequalities. In this article, we prove the conjecture for the 2-blocks and the unipotent 3-blocks of the general linear and unitary groups in non-defining characteristic. Moreover, we show that the conjecture holds for the unipotent 3-blocks of quotients of central subgroups of the special linear and unitary groups.

引用

页码：427 / 441

页数：15