Sums of element orders in groups of odd order

DOI10.1142/S021819672140004XOpenAlexW3169053049MaRDI QIDQ4957767

Marcel Herzog, Patrizia Longobardi, Mercede Maj

Publication date: 9 September 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12291

zbMATH Keywords

finite groupsgroup element orders

Mathematics Subject Classification ID

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

Related Items (2)

On groups with average element orders equal to the average order of the alternating group of degree \(5\) ⋮ Another criterion for solvability of finite groups

Cites Work

• Second maximum sum of element orders on finite groups.
• Maximum sum element orders of all proper subgroups of \(PGL(2,q)\).
• 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
• The second maximal groups with respect to the sum of element orders
• Sum of the element orders in groups of the square-free orders
• Second Maximum Sum of Element Orders of Finite Nilpotent Groups
• ON THE SUM OF ELEMENT ORDERS OF FINITE SIMPLE GROUPS
• Sum of Element Orders of Maximal Subgroups of the Symmetric Group
• SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
• Sums of Element Orders in Finite Groups
• ON THE SUM OF ELEMENT ORDERS OF FINITE ABELIAN GROUPS
• Sums of element orders in groups of order 2m with m odd
• Characterization of $p$-groups by sum of the element orders
• 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

This page was built for publication: Sums of element orders in groups of odd order