An exact upper bound for the sum of powers of element orders in non-cyclic finite groups

DOI10.1016/J.JPAA.2023.107580arXiv2208.05161MaRDI QIDQ6199048

Hiranya Kishore Dey, Archita Mondal

Publication date: 23 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.05161

zbMATH Keywords

nilpotent groupsemi-direct productdirect productsum of element orderssum of powers of element orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Nilpotent groups (20F18) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Second Maximum Sum of Element Orders of Finite Nilpotent Groups
• SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
• Sums of Element Orders in Finite Groups
• Sums of element orders in groups of order 2m with m odd
• On Groups with the Second Largest Value of the Sum of Element Orders
• Sum of the Products of the Orders of Two Distinct Elements in Finite Groups

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