Groups of \(p\)-central type

DOI10.1007/s00209-023-03406-3zbMath1529.20012arXiv2305.19955OpenAlexW4388977686MaRDI QIDQ6139838

Benjamin Sambale

Publication date: 19 December 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.19955

zbMATH Keywords

group of central typefully ramified charactersHowlett-Isaacs theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Cites Work

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• Nilpotent extensions of blocks.
• On centers of blocks with one simple module
• A Frobenius theorem for blocks
• On blocks with one modular character
• On groups of central type
• Characters fully ramified over a normal subgroup
• On blocks of defect two and one simple module, and Lie algebra structure of \(HH^1\)
• Blocks with abelian defect groups of rank 2 and one simple module
• On fully ramified Brauer characters.
• On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the Abelian defect group conjecture
• Blocks with equal height zero degrees
• Finite Groups with Irreducible Projective Representations of Large Degree
• On the $p’$-extensions of inertial blocks
• On p-blocks of p-solvable groups
• Algebras related to a class of 3-blocks of defect 2
• Character Theory and the McKay Conjecture
• Non-principal blocks with one simple module
• Quantum complete rings and blocks with one simple module

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