Characterizations of blocks by Loewy lengths of their centers

DOI10.1090/proc/13529zbMath1367.20009OpenAlexW2547611612MaRDI QIDQ5270134

Yoshihiro Otokita

Publication date: 22 June 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13529

zbMATH Keywords

blockcenterLoewy length

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Modular representations and characters (20C20)

Related Items (2)

LOEWY LENGTHS OF CENTERS OF BLOCKS II ⋮ Lower bounds on Loewy lengths of centers of blocks

Cites Work

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• Perfect isometries for blocks with abelian defect groups and Klein four inertial quotients
• Nilpotent blocks and their source algebras
• On p-blocks with Abelian defect groups and inertial index 2 or 3. I
• A Frobenius theorem for blocks
• Some studies on group algebras
• On the radical of the center of a group algebra
• Blocks whose defect groups are Klein four groups: A correction
• Perfect isometries for blocks with abelian defect groups and cyclic inertial quotients of order \(4\)
• 2-blocks with abelian defect groups.
• Crossed products and blocks with normal defect groups
• On C. Loncour's results
• On Loewy lengths of blocks
• Radicals of Twisted Group Rings

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