On the Finite Group with the Index of Maximal Subgroups of the Monster

DOI10.1081/AGB-120039291zbMath1071.20021OpenAlexW1987643225MaRDI QIDQ3158307

Xianhua Li

Publication date: 24 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120039291

zbMATH Keywords

Monsterfinite simple groupsindices of maximal subgroupsdegrees of primitive permutation representations

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Primitive groups (20B15)

Cites Work

• On the maximal subgroups of the finite classical groups
• Subgroups of prime power index in a simple group
• Flag-transitive finite simple groups
• On normal subgroups which are direct products
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Maximal subgroups of \(G_2(2^n)\)
• On the minimal degrees of projective representations of the finite Chevalley groups
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• ANATOMY OF THE MONSTER: II
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• Linear Groups with Orders Having Certain Large Prime Divisors
• On a class of doubly transitive groups

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