Notes on Loewy series of centers of p-blocks

2018/06/21 by Otokita, Yoshihiro
#20C15 #20C20 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1806.08029

Abstract

The present paper describes some results on the Loewy series of the center of a modular group algebra in order to solve a problem on the number of irreducible ordinary characters. For instance, we prove that a p-block of a finite group has at least p+2 characters if its defect group contains non-elementary center.

Related

• Some studies on Loewy lengths of centers of p-blocks
• On centers of blocks with non-cyclic defect groups
• Loewy lengths of centers of blocks and exponents of defect groups
• Loewy lengths of centers of blocks
• Character tables and defect groups