On the non-commuting graph in finite Moufang loops

DOI10.1142/S0219498818500706zbMath1455.20035MaRDI QIDQ4638605

Karim Ahmadidelir

Publication date: 27 April 2018

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

zbMATH Keywords

finite Moufang loopsloop theorynon-commuting graph in finite groups

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Loops, quasigroups (20N05)

Related Items

Non-commuting graphs and some bounds for commutativity degree of finite Moufang loops ⋮ Certain numerical results in non-associative structures ⋮ Unnamed Item ⋮ Graphs defined on groups ⋮ Some structural graph properties of the non-commuting graph of a class of finite Moufang loops ⋮ Unnamed Item

Uses Software

• GAP
• GRAPE
• LOOPS

Cites Work

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• Every Moufang loop of odd order with nontrivial commutant has nontrivial center.
• Toward the classification of Moufang loops of order 64.
• On nilpotent Moufang loops with central associators.
• Hall's theorem for Moufang loops.
• Sylow's theorem for Moufang loops.
• Groups with the same non-commuting graph.
• Moufang loops of odd order \(p^ \alpha q_ 1^ 2\cdots q_ n^ 2r_ 1\cdots r_ m\)
• Moufang loops of odd order \(pq^3\)
• The Moufang loops of order 64 and 81.
• Moufang loops that share associator and three quarters of their multiplication tables.
• Non-commuting graph of a group.
• On the primality of $n! \pm 1$ and $2 \times 3 \times 5 \times \dotsm \times p \pm 1$
• A Moufang loop's commutant
• A Class of Simple Moufang Loops
• The classification of finite simple Moufang loops
• Finite Bol loops II
• Moufang loops of small order
• Moufang Loops of Small Order. I
• Lagrange's theorem for Moufang loops
• Simple groups are characterized by their non-commuting graphs