PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS

DOI10.1017/S000497272000043XzbMath1479.20016OpenAlexW3033455660MaRDI QIDQ5147586

Behrooz Khosravi, Morteza Baniasad Azad

Publication date: 27 January 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497272000043x

zbMATH Keywords

abelian groupsnilpotent groupscyclic groupssolvable groupssupersolvable groupsproduct of element orders

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) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

On the sum of the inverses of the element orders in finite groups ⋮ The characterization of some cyclic groups by the product of element orders ⋮ Upper bounds for the product of element orders of finite groups ⋮ A criterion for p-nilpotency and p-closedness by the sum of element orders ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A note on the product of element orders of finite Abelian groups.
• Second maximum sum of element orders on finite groups.
• Two new criteria for solvability of finite groups
• An exact upper bound for sums of element orders in non-cyclic finite groups
• A criterion for solvability of a finite group by the sum of element orders
• Detecting structural properties of finite groups by the sum of element orders
• The second maximal groups with respect to the sum of element orders
• A result on the sum of element orders of a finite group
• Recognition by the product element orders
• Inequalities detecting structural properties of a finite group
• Sums of Element Orders in Finite Groups
• Sums of element orders in groups of order 2m with m odd
• A New Characterization of SimpleK₃-Groups by Their Orders and Large Degrees of Their Irreducible Characters

This page was built for publication: PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS