Robinson’s conjecture for classical groups-Reference-Cited by-同舟云学术

Robinson’s conjecture for classical groups

Published:2019-04-06 Issue:4 Volume:22 Page:555-578
ISSN:1435-4446
Container-title:Journal of Group Theory
language:en
Short-container-title:

Author:

Feng Zhicheng¹,Li Conghui²,Liu Yanjun³,Malle Gunter⁴,Zhang Jiping⁵

Affiliation:

1. School of Mathematics and Physics , University of Science & Technology Beijing , Beijing 100083 , P. R. China

2. Department of Mathematics , Southwest Jiaotong University , Chengdu 611756 , P. R. China

3. College of Mathematics and Information Science , Jiangxi Normal University , Nanchang 330022 , P. R. China

4. FB Mathematik , TU Kaiserslautern , Postfach 3049, 67653 Kaiserslautern , Germany

5. School of Mathematical Sciences , Peking University , Beijing 100871 , P. R. China

Abstract

Abstract 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.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Reference14 articles.

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