Finite groups with planar generating graph

zbMath1439.05105arXiv1908.01649MaRDI QIDQ5109062

Andrea Lucchini

Publication date: 7 May 2020

Full work available at URL: https://arxiv.org/abs/1908.01649

zbMATH Keywords

2-generated finite groupHamiltonian generating graph

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (4)

Genus, thickness and crossing number of graphs encoding the generating properties of finite groups ⋮ The non‐F graph of a finite group ⋮ Generating graphs of finite dihedral groups ⋮ The independence graph of a finite group

Cites Work

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• Die Eulersche Funktion endlicher auflösbarer Gruppen
• Probabilistic generation of finite simple groups. II.
• Crowns and factorization of the probabilistic zeta function of a finite group.
• Probabilistic generation of finite simple groups
• Probabilistic generation of finite groups with a unique minimal normal subgroups
• Zu einem von B. H. und H. Neumann gestellten Problem
• Hamiltonian cycles in the generating graphs of finite groups

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