The digraphs arising by the power maps of generalized quaternion groups

DOI10.1142/S0219498817501791zbMath1397.05071MaRDI QIDQ5276026

Uzma Ahmad, Muqadas Moeen

Publication date: 14 July 2017

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

zbMATH Keywords

fixed pointcyclesin-degreeregular digraphgeneralized quaternion groupiteration digraphsemi-regular digraph

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)

Related Items (3)

On the functional graph of the power map over finite groups ⋮ Structural properties of group power digraphs ⋮ Digraph from power mapping on noncommutative groups

Cites Work

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• On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\)
• Structure of digraphs associated with quadratic congruences with composite moduli
• Digraphs from Endomorphisms of Finite Cyclic Groups
• On the heights of power digraphs modulo n
• On a Connection of Number Theory with Graph Theory

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