Robinson's conjecture for classical groups

被引：3

作者：

Feng, Zhicheng ^{[1
]}

Li, Conghui ^{[2
]}

Liu, Yanjun ^{[3
]}

Malle, Gunter ^{[4
]}

Zhang, Jiping ^{[5
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

[2] Southwest Jiaotong Univ, Dept Math, Chengdu 611756, Sichuan, Peoples R China

[3] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[4] TU Kaiserslautern, FB Math, Postfach 3049, D-67653 Kaiserslautern, Germany

[5] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF GROUP THEORY | 2019年 / 22卷 / 04期

关键词：

BLOCKS; CHARACTERS;

D O I：

10.1515/jgth-2018-0177

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Robinson's conjecture states that the height of any irreducible ordinary character in a block of a finite group is bounded by the size of the central quotient of a defect group. This conjecture had been reduced to quasi-simple groups by Murai. The case of odd primes was settled completely in our predecessor paper. Here we investigate the 2-blocks of finite quasi-simple classical groups.

引用

页码：555 / 578

页数：24

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