A note on the product of element orders of finite Abelian groups.

zbMath1280.20058arXiv1805.09310MaRDI QIDQ384156

Marius Tărnăuceanu

Publication date: 26 November 2013

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09310

zbMATH Keywords

finite Abelian groupsAbelian \(p\)-groupsproducts of element orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

Sum of the element orders in groups of the square-free orders ⋮ The characterization of some cyclic groups by the product of element orders ⋮ Upper bounds for the product of element orders of finite groups ⋮ Unnamed Item ⋮ PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS ⋮ Recognition by the product element orders ⋮ On a criterion for solvability of a finite group

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