Influence of Indices of the Maximal Subgroups of the Finite Simple Groups on the Structure of a Finite Group

DOI10.1081/AGB-120027851zbMath1057.20017MaRDI QIDQ4454155

Xianhua Li

Publication date: 7 March 2004

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

zbMATH Keywords

finite simple groupsindices of maximal subgroupsrecognizability of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Finite simple groups and their classification (20D05)

Related Items (5)

On the normal index and the c-section of maximal subgroups of a finite group ⋮ \(s\)-conditionally permutable subgroups and \(p\)-nilpotency of finite groups. ⋮ A characterization of finite simple groups by the orders of solvable subgroups. ⋮ On the Finite Group with the Same Orders of Solvable Subgroups as the Simple GroupL _n (q) ⋮ On Permutation Groups of Degree a Product of Two Prime-Powers

Cites Work

• Unnamed Item
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• On finite factorizable groups
• On the maximal subgroups of the finite classical groups
• Subgroups of prime power index in a simple group
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• 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
• Prime graph components of finite groups
• Imprimitive maximal subgroups of the orthogonal, special orthogonal, unitary and special unitary groups
• Minimal degree for a permutation representation of a classical group
• The maximal subgroups of the Baby Monster. I
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• Congruence properties of ordinary and q-binomial coefficients
• The Sylow 2-subgroups of the finite classical groups
• On maximal subgroups of the Fischer group Fi₂₂
• The Maximal Subgroups of the Fischer Groups Fi ₂₄ and Fi′ ₂₄
• The Local Maximal Subgroups of Exceptional Groups of Lie Type, Finite and Algebraic
• Primitive Permutation Groups Containing an Element of Large Prime Order
• The Primitive Permutation Groups of Odd Degree
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• The Local Subgroups of the Fischer Groups
• The Maximal Subgroups of J ₄
• The Maximal Subgroups of the Fischer Group Fi ₂₃
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• The Maximal Subgroups of the Thompson Group
• Imprimitive Maximal Subgroups of the General Linear, Special Linear, Symplectic and General Symplectic Groups
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• On a Conjecture of Philip Hall
• Hall subgroups of the symmetric groups

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