Complex linear groups of degree at most (q-1)/2

DOI10.1016/0021-8693(82)90313-1zbMath0499.20031OpenAlexW4210389350MaRDI QIDQ1171649

Pamela A. Ferguson

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90313-1

zbMATH Keywords

irreducible charactersSylow subgroupFrobenius groupirreducible constituentsfaithful complex character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (3)

Linear groups ⋮ Solvable irreducible linear groups of arbitrary degree with a Hall TI-subgroup ⋮ Complex linear groups of relatively small degree

Cites Work

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• Strongly self-centralizing Sylow 3-groups
• On finite complex linear groups of degree (q-1)/2
• Finite linear groups with a strongly self-centralizing Sylow subgroup. II
• Finite linear groups having an abelian Sylow subgroup
• Finite linear groups havin g an Abelian Sylow subgroup. II
• On Groups Whose Order Contains a Prime Number to the First Power I

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