A survey of the maximal subgroups of the finite simple groups

DOI10.1007/BF00191933zbMath0641.20015OpenAlexW4240149841MaRDI QIDQ1100554

Martin W. Liebeck, Peter B. Kleidman

Publication date: 1988

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00191933

zbMATH Keywords

sporadic groupsexceptional groups of Lie typegroups of automorphismsalternating groupsclassical groupsmaximal subgroups of finite almost simple groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: sporadic groups (20D08) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Subgroups of symmetric groups (20B35)

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A non-solvable extension of ℚ unramified outside 7 ⋮ A classification of the maximal subgroups of the finite alternating and symmetric groups ⋮ The primitive permutation groups with an orbital of length 4 ⋮ Primitive permutation groups with a sharply 2-transitive subconstituen of prime degree^* ⋮ Structure of finite subgroups of simple algebraic groups ⋮ Distance-transitive representations of the sporadic groups ⋮ Algebraic groups over finite fields: connections between subgroups and isogenies ⋮ Generation and random generation: from simple groups to maximal subgroups. ⋮ Primitive permutation groups with a solvable 2-transitive subconstituent. ⋮ Minimal characters of the finite classical groups ⋮ The subgroup structure of finite groups ⋮ FINITE LINEAR GROUPS OF SMALL DEGREE. II ⋮ Suzuki groups and 2-\((v,k,1)\) designs ⋮ Quasi-primitive characters of square-free degree

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