Author:
Feng Zhicheng,Li Conghui,Liu Yanjun,Malle Gunter,Zhang Jiping
Abstract
Geoffrey Robinson conjectured in 1996 that the $p$-part of character degrees in a $p$-block of a finite group can be bounded in terms of the center of a defect group of the block. We prove this conjecture for all primes $p\neq 2$ for all finite groups. Our argument relies on a reduction by Murai to the case of quasi-simple groups which are then studied using deep results on blocks of finite reductive groups.
Subject
Algebra and Number Theory
Cited by
6 articles.
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