GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS

DOI10.1017/fms.2019.43zbMath1471.20024arXiv1807.05400OpenAlexW3099457011MaRDI QIDQ3304644

Gareth M. Tracey, Claude Marion, Andrea Lucchini

Publication date: 3 August 2020

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05400

zbMATH Keywords

minimal number of generatorsmaximal subgroupalmost simple groupcrowns in finite groups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05)

Related Items (1)

Prefrattini subgroups and crowns

Uses Software

• Magma
• AtlasRep
• ATLAS Group Representations

Cites Work

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• The probability of generating a finite simple group.
• The maximal subgroups of Conway's group \(Co_ 1\)
• On the probability of generating finite groups with a unique minimal normal subgroup.
• Some applications of the first cohomology group
• On the maximal subgroups of the finite classical groups
• Maximal subgroups of the Harada-Norton group
• Some subgroups of the Baby Monster
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Pre-Frattini groups.
• On complemented nonabelian chief factors of a finite group
• The maximal subgroups of the Baby Monster. I
• The Magma algebra system. I: The user language
• Generators for finite groups with a unique minimal normal subgroup
• Crowns and factorization of the probabilistic zeta function of a finite group.
• Generation of almost simple groups
• Generation and random generation: from simple groups to maximal subgroups.
• Maximal subgroups of exceptional groups of Lie type, finite and algebraic
• On the probability of generating a minimal d-generated group
• Probabilistic generation of finite groups with a unique minimal normal subgroups
• A correction to the 41-structure of the Monster, a construction of a new maximal subgroup L₂ (41) and a new Moonshine phenomenon
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• An atlas of subgroup lattices of finite almost simple groups
• Generators for Simple Groups
• 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
• Generation of Finite Groups of Lie Type
• The local structure of finite groups of characteristic 2 type
• The Local Subgroups of the Fischer Groups
• The maximal subgroups of Fi22
• The Maximal Subgroups of the Fischer Group Fi ₂₃
• Chief factors, crowns, and the generalized Jordan-hölder theorem
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Involutions in Chevalley groups over fields of even order
• Centralizers of Semisimple Elements in Finite Groups of Lie Type
• A NEW COMPUTER CONSTRUCTION OF THE MONSTER USING 2-LOCAL SUBGROUPS
• Generating sets of finite groups
• Classes of Finite Groups
• On the structure of parabolic subgroups
• Maximal subgroups of finite groups

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