SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
From MaRDI portal
Publication:3006036
DOI10.1142/S0219498811004057zbMath1217.20015MaRDI QIDQ3006036
Habib Amiri, Seyyed Majid Jafarian Amiri
Publication date: 10 June 2011
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
finite groupsfinite nilpotent groupssets of element orderssums of element ordersfinite cyclic groupsnilpotent numbers
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)
Related Items (32)
Sum of Element Orders of Maximal Subgroups of the Symmetric Group ⋮ Another criterion for supersolvability of finite groups ⋮ Subgroups of cyclic groups and values of the Riemann zeta function ⋮ 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 ⋮ A density result on the sum of element orders of a finite group ⋮ Subgroups with a small sum of element orders ⋮ 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 ⋮ Some density results involving the average order of a finite group ⋮ 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 ⋮ Unnamed Item ⋮ Characterizing finite groups using the sum of the orders of the elements. ⋮ A recursive formula for the sum of element orders of finite abelian groups ⋮ Unnamed Item ⋮ 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 criterion for solvability of a finite group by the sum of element orders ⋮ Sums of element orders in groups of order 2m with m odd ⋮ Unnamed Item ⋮ Another criterion for solvability of finite groups ⋮ ON THE SUM OF ELEMENT ORDERS OF FINITE SIMPLE 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 ⋮ On the average order of a finite group
Cites Work
This page was built for publication: SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
