On Linear Groups Over Finite Fields

DOI10.2307/2048240zbMath0724.20031OpenAlexW4248140092MaRDI QIDQ5758378

Ji Ping Zhang

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048240

zbMATH Keywords

finite groupfinite linear groupsabelian Sylow p-subgroup

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) General structure theorems for groups (20E34) Modular representations and characters (20C20) Finite simple groups and their classification (20D05) Other matrix groups over finite fields (20H30)

Cites Work

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• Complex linear groups of degree at most v-3
• Automorphisms which centralize a Sylow p-subgroup
• On linear groups of degrees at most \(|{} P|{} -1\)
• On the minimal degrees of projective representations of the finite Chevalley groups
• On groups whose orders contain a prime number to the first power
• Groups with a Cyclic Sylow Subgroup
• On Groups Whose Order Contains a Prime Number to the First Power I
• On simple groups of finite order. I
• On finite linear groups