Second Maximum Sum of Element Orders of Finite Nilpotent Groups

DOI10.1080/00927872.2011.653070zbMath1273.20021OpenAlexW2031358693MaRDI QIDQ2842284

Seyyed Majid Jafarian Amiri

Publication date: 13 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.653070

zbMATH Keywords

cyclic groupsfinite nilpotent groupssets of element orderssums of element orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (17)

Sum of the element orders in groups of the square-free orders ⋮ Second maximum sum of element orders on finite groups. ⋮ 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 ⋮ 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 ⋮ On Groups with the Second Largest Value of the Sum of Element Orders

Cites Work

• Sums of Element Orders in Finite Groups

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