MAXIMUM SIZE OF SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS IN FINITE METACYCLIC p-GROUPS

DOI10.1017/S0004972712000111zbMath1271.20021MaRDI QIDQ4909985

Reza Orfi, Shirin Fouladi

Publication date: 22 March 2013

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

zbMATH Keywords

finite \(p\)-groupsmetacyclic \(p\)-groupsclique numberspairwise non-commuting elementsnon-commuting graphs of groupsAbelian coverings of groupscoloring numbers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

ON MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS IN FINITE -GROUPS ⋮ Abelian covers and non-commuting sets in a non-abelian \(p\)-group which its central quotient is metacyclic ⋮ Maximal non-commuting set in 2-generated p-groups of class two ⋮ On F-groups with the central factor of order p ⁴

Cites Work

• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 3.
• Non-commuting graph of a group.
• MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS OF SOME p-GROUPS OF MAXIMAL CLASS
• The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
• On coverings of a finite group by abelian subgroups
• On non-commuting sets in an extraspecial p-group
• MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS OF THREE-DIMENSIONAL GENERAL LINEAR GROUPS

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