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

DOI10.1007/S00013-019-01385-8zbMath1451.20003arXiv1904.00425OpenAlexW2979101217MaRDI QIDQ2285057

Afsane Bahri, Zeinab Akhlaghi, Behrooz Khosravi

Publication date: 16 January 2020

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

Full work available at URL: https://arxiv.org/abs/1904.00425

zbMATH Keywords

orderfinite groupsolvable groupsum of element ordersHerzog conjecture

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (7)

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 ⋮ Subgroups with a small sum of element orders ⋮ On groups with average element orders equal to the average order of the alternating group of degree \(5\) ⋮ Unnamed Item ⋮ PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS

Cites Work

• Unnamed Item
• Second maximum sum of element orders on finite groups.
• 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
• On the number of Sylow subgroups in a finite group
• Second Maximum Sum of Element Orders of Finite Nilpotent Groups
• SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
• A Remark on Finite Groups
• 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

This page was built for publication: A result on the sum of element orders of a finite group