Factorizing a finite group into conjugates of a subgroup.

DOI10.1016/j.jalgebra.2014.07.012zbMath1304.20036arXiv1407.5937OpenAlexW2963951511MaRDI QIDQ406354

Martino Garonzi, Dan Levy

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1407.5937

zbMATH Keywords

finite groupssporadic simple groupsfinite groups of Lie typeproducts of Sylow subgroupsalmost-simple groupsconjugate product coveringscovering problem

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

Primitive permutation groups as products of point stabilizers ⋮ Unnamed Item ⋮ Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent ⋮ Groups equal to a product of three conjugate subgroups ⋮ Products of Sylow Subgroups in Suzuki and Ree Groups

Uses Software

• GAP
• GAP Character Table Library
• CTblLib
• mfer
• ATLAS Group Representations

Cites Work

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• Covers and normal covers of finite groups.
• A conjecture on product decompositions in simple groups.
• Unitriangular factorizations of Chevalley groups.
• Direct products of finite groups as unions of proper subgroups.
• Finite soluble groups
• Finite linear groups and bounded generation
• Products of conjugacy classes in groups
• Normal coverings of linear groups.
• Normal coverings and pairwise generation of finite alternating and symmetric groups.
• Product decompositions in finite simple groups
• The maximal factorizations of the finite simple groups and their automorphism groups
• Groups as the union of proper subgroups.
• The multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups
• Classes of Finite Groups

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