Blocks of small defect in alternating groups and squares of Brauer character degrees
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Publication:1676217
DOI10.1515/jgth-2017-0025zbMath1391.20007OpenAlexW2737901363MaRDI QIDQ1676217
Hung P. Tong-Viet, Xiaoyou Chen, Mark L. Lewis, James P. Cossey
Publication date: 6 November 2017
Published in: Journal of Group Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jgth-2017-0025
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)
Related Items (8)
Brauer characters and normal Sylow \(p\)-subgroups ⋮ ON HIGHER FROBENIUS–SCHUR INDICATORS ⋮ A note on larger orbit size ⋮ DEGREES OF BRAUER CHARACTERS AND NORMAL SYLOW -SUBGROUPS ⋮ Blocks of small defect in symmetric and simple groups ⋮ Remarks on singular Cayley graphs and vanishing elements of simple groups ⋮ SQUARES OF DEGREES OF BRAUER CHARACTERS AND MONOMIAL BRAUER CHARACTERS ⋮ MONOLITHIC BRAUER CHARACTERS
Uses Software
Cites Work
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- Characters of \(\pi\)-separable groups
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- Lower defect groups in symmetric groups
- Large orbits of supersolvable linear groups
- Orbit sizes, character degrees and Sylow subgroups.
- Regular orbits of solvable linear \(p'\)-groups.
- Every coprime linear group admits a base of size two
- Spin Modules for Symmetric Groups
- Blocks of Small Defect
- Large orbits in actions of nilpotent groups
- A character theoretic condition characterizing nilpotent groups
- Defect zero blocks for finite simple groups
- Large orbits in coprime actions of solvable groups
- A Character Theoretic Condition for F(G) > 1
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