Remarks on reduction (mod p) of finite complex linear groups

DOI10.1016/0021-8693(83)90232-6zbMath0527.20034OpenAlexW2079828183MaRDI QIDQ595789

Geoffrey R. Robinson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90232-6

zbMATH Keywords

minimal polynomialirreducible constituentsfaithful complex representationfaithful module for group over complex numbersp-element with small degree

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Finite nearfields classified, again, Further remarks on linear groups, Some aspects of finite linear groups: A survey

Cites Work

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• Groups which have a faithful representation of degree less than \((p-1)/2\)
• Primitive Linear Groups Containing a Normal Nilpotent Subgroup Larger Than the Centre of the Group
• Subgroups of finite groups
• On Groups Whose Order Contains a Prime Number to the First Power I