Applying extremal graph theory to a question on finite groups

DOI10.1007/s10474-022-01263-wOpenAlexW4304701337MaRDI QIDQ2678399

Andrea Lucchini

Publication date: 23 January 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-022-01263-w

zbMATH Keywords

metabelian groupwordprobability gap

Mathematics Subject Classification ID

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

Cites Work

• Some extremal results on complete degenerate hypergraphs
• A generalization of a question asked by B. H. Neumann
• Gaps in probabilities of satisfying some commutator-like identities
• On extremal problems of graphs and generalized graphs
• Ensuring commutativity of finite groups
• On a Conjecture of Hanna Neumann
• Ensuring a finite group is supersoluble
• What is the Probability that Two Group Elements Commute?
• Ensuring a Group is Weakly Nilpotent
• Applying the Kövári-Sós-Turán theorem to a question in group theory
• On the Relative Commutativity Degree of a Subgroup of a Finite Group
• B.H. Neumann's Question on Ensuring Commutativity of Finite Groups
• On a problem of K. Zarankiewicz

This page was built for publication: Applying extremal graph theory to a question on finite groups