On Groups with the Second Largest Value of the Sum of Element Orders

DOI10.1080/00927872.2014.900686zbMath1317.20027OpenAlexW1980378955MaRDI QIDQ5256757

R. L. Shen, Gang Chen, Chao Wu

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.900686

zbMATH Keywords

finite groupssets of element orderssums of element ordersfinite metacyclic groupsequal order groups

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 (15)

The sum of orders of elements in nonabelian groups of odd order ⋮ 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 ⋮ 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 ⋮ Unnamed Item ⋮ The second maximal groups with respect to the sum of element orders ⋮ An exact upper bound for sums of element orders in non-cyclic finite groups ⋮ A result on the sum of element orders of a finite group ⋮ Sums of element orders in groups of odd order ⋮ Recognition by the product element orders ⋮ Sums of element orders in groups of order 2m with m odd ⋮ 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

• Unnamed Item
• Second maximum sum of element orders on finite groups.
• Second Maximum Sum of Element Orders of Finite Nilpotent 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

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