Sums of Element Orders in Finite Groups
From MaRDI portal
Publication:3644338
DOI10.1080/00927870802502530zbMath1183.20022OpenAlexW2093497308MaRDI QIDQ3644338
Habib Amiri, I. M. Isaacs, Seyyed Majid Jafarian Amiri
Publication date: 4 November 2009
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870802502530
Related Items (57)
On the sum of the inverses of the element orders in finite groups ⋮ 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 sum of orders of elements in nonabelian groups of odd order ⋮ 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 ⋮ Sum of the element orders in groups of the square-free orders ⋮ Two new criteria for solvability of finite groups ⋮ New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups ⋮ A GROUP SUM INEQUALITY AND ITS APPLICATION TO POWER GRAPHS ⋮ Isolated subgroups of finite abelian groups ⋮ A density result on the sum of element orders of a finite group ⋮ Second maximum sum of element orders on finite groups. ⋮ On a bijection between a finite group and cyclic 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 \(5\) ⋮ 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 ⋮ Unnamed Item ⋮ The second maximal groups with respect to the sum of element orders ⋮ On the number of edges of cyclic subgroup graphs of finite groups ⋮ An exact upper bound for sums of element orders in non-cyclic finite groups ⋮ A criterion for p-nilpotency and p-closedness by the sum of element orders ⋮ Inequalities detecting structural properties of a finite group ⋮ Unnamed Item ⋮ The average element order and the number of conjugacy classes of finite groups ⋮ Unnamed Item ⋮ Characterizing finite groups using the sum of the orders of the elements. ⋮ Edge-maximality of power graphs of finite cyclic groups ⋮ PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS ⋮ SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER ⋮ 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 ⋮ The undirected power graph of a finite group. ⋮ A generalization of a result on the sum of element orders of a finite group ⋮ Recognition by the product element orders ⋮ Sums of element orders in groups of order 2m with m odd ⋮ Unnamed Item ⋮ Another criterion for solvability of finite groups ⋮ Sum of the Products of the Orders of Two Distinct Elements in Finite Groups ⋮ Second Maximum Sum of Element Orders of Finite Nilpotent 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 ⋮ Recent developments on the power graph of finite groups – a survey ⋮ On the average order of a finite group ⋮ Spectrum and L-spectrum of the power graph and its main supergraph for certain finite groups
This page was built for publication: Sums of Element Orders in Finite Groups
