A density result on the sum of element orders of a finite group

DOI10.1007/s00013-020-01437-4zbMath1481.20087arXiv1911.10557OpenAlexW3004882572MaRDI QIDQ2182681

Mihai-Silviu Lazorec, Marius Tărnăuceanu

Publication date: 26 May 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10557

zbMATH Keywords

cyclic groupsgroup element orderssum of element orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34)

Related Items (3)

An answer to a conjecture on the sum of element orders ⋮ On two conjectures about the sum of element orders ⋮ New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups

Uses Software

• VisualStudio.NET

Cites Work

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• Two new criteria for solvability of finite groups
• An exact upper bound for sums of element orders in non-cyclic finite groups
• A criterion for solvability of a finite group by the sum of element orders
• Detecting structural properties of finite groups by the sum of element orders
• Cantorvals and Subsum Sets of Null Sequences
• SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
• Sums of Element Orders in Finite Groups
• A connection between the number of subgroups and the order of a finite group
• Sums of element orders in groups of order 2m with m odd
• A criterion for nilpotency of a finite group by the sum of element orders

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