On a Theorem of Knörr

2023/09/27 by Burkhard Külshammer, Külshammer, Burkhard
Engineering · Mathematics · #20C20 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2309.15538

openalex publication_date 2023/09/27 · openalex created_date 2023/09/30 · openalex updated_date 2026/07/28

Abstract

Knörr has constructed an ideal, in the center of the p-modular group algebra of a finite group G, whose dimension is the number of p-blocks of defect zero in G/Q; here p is a prime and Q is a normal p-subgroup of G. We generalize his construction to symmetric algebras.

Related

• p-Blocks Relative to a Character of a Normal Subgroup
• Group algebras in which the socle of the center is an ideal
• Kuelshammer ideals and the scalar problem for blocks with dihedral defect groups
• Ribbon blocks for centraliser algebras of symmetric groups
• Classifying group algebras in which the socle of the center is an ideal