Maximal non-commuting set in 2-generated p-groups of class two

DOI10.1142/S0219498818501645zbMath1396.20026OpenAlexW2750446998MaRDI QIDQ4585764

Pradeep Kumar, Vivek Kumar Jain

Publication date: 7 September 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501645

zbMATH Keywords

centralizer\(p\)-groupnon-commuting set

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Abelian covers and non-commuting sets in a non-abelian \(p\)-group which its central quotient is metacyclic

Cites Work

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• Pairwise non-commuting elements in finite metacyclic \(2\)-groups and some finite \(p\)-groups.
• Some applications of graph theory to finite groups
• Groups of prime power order. Vol. 3.
• Non-commuting graph of a group.
• On the maximum number of the pairwise noncommuting elements in a finite group
• Two-generator two-groups of class two and their nonabelian tensor squares
• On coverings of a finite group by abelian subgroups
• On non-commuting sets in an extraspecial p-group
• MAXIMUM SIZE OF SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS IN FINITE METACYCLIC p-GROUPS
• MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS OF THREE-DIMENSIONAL GENERAL LINEAR GROUPS

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