Robinson’s conjecture for classical groups

Zhicheng Feng, Conghui Li, Yanjun Liu, Gunter Malle, Jiping Zhang

Type: Article

Publication Date: 2019-04-06

Citations: 4

DOI: https://doi.org/10.1515/jgth-2018-0177

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.

Locations

Journal of Group Theory - View - PDF

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Works Cited by This (13)

Action	Title	Year	Authors
+	Finite Groups of Lie Type: Conjugacy Classes and Complex Characters	1993	Roger W. Carter
+	Representation Theory of Finite Reductive Groups	2004	Marc Cabanes Michel Enguehard
+	Local Structure, Vertices and Alperin's Conjecture	1996	Geoffrey R. Robinson
+ PDF Chat	Catégories dérivées et variétés de Deligne-Lusztig	2003	Cédric Bonnafé Raphaël Rouquier
+	Twisted wreath products and sylow 2-subgroups of classical simple groups	1967	W. J. Wong
+	The sylow 2-subgroups of the finite classical groups	1964	Roger Carter Paul Fong
+	Extensions of unipotent characters and the inductive McKay condition	2008	Gunter Malle
+	The blocks of finite general linear and unitary groups	1982	Paul Fong Bhama Srinivasan
+ PDF Chat	Low-Dimensional Complex Characters of the Symplectic and Orthogonal Groups	2010	Hung Ngoc Nguyen
+	Robinson’s conjecture on heights of characters	2019	Zhicheng Feng Conghui Li Yanjun Liu Gunter Malle Jiping Zhang