Sum of the Products of the Orders of Two Distinct Elements in Finite Groups

DOI10.1080/00927872.2013.839697zbMath1321.20025OpenAlexW2032971395MaRDI QIDQ5495311

Mohsen Amiri, Seyyed Majid Jafarian Amiri

Publication date: 31 July 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.839697

zbMATH Keywords

finite groupscyclic groupssets of element ordersnoncyclic groupssums of element orders

Mathematics Subject Classification ID

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

Related Items (9)

On groups with average element orders equal to the average order of the alternating group of degree \(5\) ⋮ On the sum of orders of elements in finite groups ⋮ An exact upper bound for the sum of powers of element orders in non-cyclic finite groups ⋮ The second maximal groups with respect to the sum of element orders ⋮ Unnamed Item ⋮ Sums of element orders in groups of odd order ⋮ Sums of element orders in groups of order 2m with m odd ⋮ Another criterion for solvability of finite groups ⋮ On a criterion for solvability of a finite group

Cites Work

• Sums of Element Orders in Finite Groups
• On the power structure of powerful p-groups

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