On character degrees of cyclic and Klein four defect blocks

2025/09/01 by Linckelmann, Markus
#20C20 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2509.01394

Abstract

We show that a conjecture of Giannelli on character degrees of height zero characters holds for blocks with a cyclic or Klein four defect group.

Citations

• McKay bijections and character degrees
• 2-Blocks whose defect group is homocyclic and whose inertial quotient\n contains a Singer cycle II
• Descent of equivalences and character bijections
• Quasi-isolated blocks and Brauer's height zero conjecture

Cited by

• Sum of the squares of the p'-character degrees

Related

• Character degrees in blocks and defect groups
• Minimal heights and defect groups with two character degrees
• Character tables and defect groups
• Characters of positive height in blocks of finite quasi-simple groups
• Blocks with Equal Height Zero Degrees