2-coverings for exceptional and sporadic simple groups.

DOI10.1007/s00013-013-0562-8zbMath1286.20014OpenAlexW2095329978MaRDI QIDQ378893

Marco Antonio Pellegrini

Publication date: 12 November 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0562-8

zbMATH Keywords

maximal subgroupssporadic simple groupsfinite simple groupsconjugacy classes of subgroupsfinite groups of Lie typecovering propertiescoverings of groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Simple groups: sporadic groups (20D08) Series and lattices of subgroups (20D30) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

Primitive permutation groups and derangements of prime power order. ⋮ Toward a sharp Baer-Suzuki theorem for the \(\pi \)-radical: exceptional groups of small rank ⋮ Finite groups, 2-generation and the uniform domination number ⋮ On triangles in derangement graphs ⋮ CONNECTED COMPONENTS IN THE INVARIABLY GENERATING GRAPH OF A FINITE GROUP

Uses Software

• GAP

Cites Work

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• Normal coverings of finite symmetric and alternating groups.
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• Generation of exceptional groups of Lie-type
• Generic \(2\)-coverings of finite groups of Lie type.
• Simple groups admit Beauville structures
• The maximal subgroups of F₄(2) and its automorphism group
• Products of conjugacy classes and fixed point spaces
• The Finite Simple Groups
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• COVERINGS OF LINEAR GROUPS

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