B.H. Neumann's Question on Ensuring Commutativity of Finite Groups

DOI10.1017/S000497270004750XzbMath1108.20020MaRDI QIDQ5482582

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Publication date: 28 August 2006

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

derived lengthssolubilitycombinatorial conditions on subsetscommutativity conditionscentralizing pairs of elements

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items

Finite groups with a nilpotency condition ⋮ A generalization of a question asked by B. H. Neumann ⋮ Applying extremal graph theory to a question on finite groups ⋮ Finite groups with a subnormality condition ⋮ Ensuring a Group is Weakly Nilpotent ⋮ A commutativity condition on subsets of rings ⋮ A generalization of Neumann's question ⋮ A commutativity property for rings

Cites Work

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• Some applications of graph theory to finite groups
• Non-commuting graph of a group.
• Ensuring commutativity of finite groups
• The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
• On groups with bounded conjugacy classes
• Nonsolvable finite groups all of whose local subgroups are solvable