A characterization of \(\text{SL}(2,p^n)\), \(p\geq 5\).

DOI10.1016/0021-8693(78)90203-XzbMath0418.20015MaRDI QIDQ755668

Chat-Yin Ho

Publication date: 1978

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

zbMATH Keywords

finite simple groupsirreducible actionsspecial linear groupsfaithful irreducible modules

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

Applications of the FF-module theorem and related results. ⋮ Finite groups ⋮ Linear groups generated by a pair of quadratic action subgroups ⋮ A characterization of \(SL_ 2(k)\) by its quadratic action on the natural module

Cites Work

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• Chevalley groups of odd characteristic as quadratic pairs
• 2-fusion in finite groups
• Quadratic elements in unipotent linear groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Quadratic pairs for 3 whose root group has order greater than 3,i
• Quadratic pairs for odd primes
• A Sufficient Condition for p -Stability
• Schur multipliers of the known finite simple groups

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