Finite groups with integer harmonic mean of element orders

DOI10.1142/S0219498825500835MaRDI QIDQ6669420

Iulia-Cătălina Pleşca, Marius Tărnăuceanu

Publication date: 22 January 2025

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

zbMATH Keywords

harmonic meanelement order

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Cites Work

• Title not available (Why is that?)
• Cyclicity degrees of finite groups.
• Harmonic numbers and finite groups.
• Groups of prime power order. Vol. 1.
• On the average order of a finite group
• New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups
• On the sum of the inverses of the element orders in finite groups

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