On the maximum number of the pairwise noncommuting elements in a finite group

DOI10.1142/S0219498816501978zbMath1375.20022MaRDI QIDQ3179575

H. Madadi, Seyyed Majid Jafarian Amiri

Publication date: 21 December 2016

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

zbMATH Keywords

finite groupsnilpotent groupscentralizerpairwise noncommuting element

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items

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, Groups with exactly ten centralizers, On groups covered by finitely many centralizers and domination number of the commuting graphs

Uses Software

• GAP

Cites Work

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• Counting Centralizers in Finite Groups
• On $n$-Sum Groups.
• FINITE GROUPS WHOSE NONCENTRAL COMMUTING ELEMENTS HAVE CENTRALIZERS OF EQUAL SIZE
• On 9-centralizer groups