Some studies on Loewy lengths of centers of p-blocks

2016/05/25 by Yoshihiro Otokita, Otokita, Yoshihiro
Mathematics · Engineering · #Finite Group Theory Research #graph theory and CDMA systems #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1605.07949

Abstract

In this paper, we investigate some relations between the Loewy lengths of the centers of blocks of group algebras and its defect groups. In particular, we give a new upper bound of the Loewy length and determine the structure of blocks with large Loewy length.

Related

• Loewy lengths of centers of blocks and exponents of defect groups
• Loewy lengths of centers of blocks
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• Notes on Loewy series of centers of p-blocks
• Loewy lengths of blocks with abelian defect groups