Character degrees in blocks and defect groups

2021/10/25 by Giannelli, Eugenio, Martínez, J. Miquel, Fry, A. A. Schaeffer · 1 citation
#20C15 #20C20 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2110.13227

Abstract

A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a block. In this article, we bring new evidence towards the validity of this statement.

Cited by

• Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p

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