Real characters in blocks

2011/03/16 by László Héthelyi, Hethelyi, Laszlo, Erzsébet Horváth +3
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1103.3171

openalex publication_date 2011/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture and Eaton's conjecture. We prove the real version of Eaton's conjecture for 2-blocks of groups with cyclic defect group and for the principal 2-blocks of groups with trivial real core. We also characterize G-classes, real and rational G-classes of the defect group of a block B.

Related

• Brauer's problem 21 for principal blocks
• The blocks with five irreducible characters
• Cartan matrices and Brauer's k(B)-Conjecture IV
• Real characters in nilpotent blocks
• On a minimal counterexample to Brauer's k(B)-conjecture