The swap graph of the finite soluble groups

DOI10.1007/s10801-016-0676-8zbMath1344.05068OpenAlexW2301591104MaRDI QIDQ314059

Andrea Lucchini, Marco Di Summa

Publication date: 12 September 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-016-0676-8

zbMATH Keywords

soluble groupsgenerating \(d\)-tuplesswap conjecture

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connectivity (05C40)

Related Items

The independence graph of a finite group

Cites Work

• The graph of the generating \(d\)-tuples of a finite soluble group and the swap conjecture.
• Finite soluble groups satisfying the swap conjecture.
• Pre-Frattini groups.
• The swap conjecture
• The swap conjecture of Tennant and Turner

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