Sums of element orders in groups of order 2m with m odd

DOI10.1080/00927872.2018.1527924zbMath1476.20024OpenAlexW2916408298MaRDI QIDQ5227782

Marcel Herzog, Patrizia Longobardi, Mercede Maj

Publication date: 7 August 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1527924

zbMATH Keywords

groups of even ordergroup element orders

Mathematics Subject Classification ID

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

Related Items (19)

The minimum sum of element orders of finite groups ⋮ 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 ⋮ A density result on the sum of element orders of a finite group ⋮ 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 ⋮ Upper bounds for the product of element orders of finite groups ⋮ Detecting structural properties of finite groups by the sum of element orders ⋮ An exact upper bound for the sum of powers of element orders in non-cyclic finite groups ⋮ A criterion for p-nilpotency and p-closedness by the sum of element orders ⋮ PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS ⋮ On a divisibility property involving the sum of element orders ⋮ A result on the sum of element orders of a finite group ⋮ Sums of element orders in groups of odd order ⋮ A generalization of a result on the sum of element orders of a finite group ⋮ Another criterion for solvability of finite groups ⋮ A criterion for nilpotency of a finite group by the sum of element orders ⋮ On a criterion for solvability of a finite group

Cites Work

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• 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
• 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

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