A criterion for nilpotency of a finite group by the sum of element orders
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Publication:5856781
DOI10.1080/00927872.2020.1840575OpenAlexW3112653946MaRDI QIDQ5856781
Publication date: 29 March 2021
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09744
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15)
Related Items (11)
On the sum of the inverses of the element orders in finite groups ⋮ Another criterion for supersolvability 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 ⋮ Subgroups with a small sum of element orders ⋮ Addendum to ``A generalization of a 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 \(5\) ⋮ Unnamed Item ⋮ On the average order of a finite group
Cites Work
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- Second Maximum Sum of Element Orders of Finite Nilpotent Groups
- SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
- 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
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