The characterization of some cyclic groups by the product of element orders

DOI10.1142/s0219498824500919OpenAlexW4317423859MaRDI QIDQ6145237

Unnamed Author, Behrooz Khosravi, Morteza Baniasad Azad

Publication date: 30 January 2024

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498824500919

zbMATH Keywords

finite groupsimple groupelement orderproduct of element orders

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A note on the product of element orders of finite Abelian groups.
• Recognition by the product element orders
• Inequalities detecting structural properties of a finite group
• Corrigendum and Addendum to "Classification of Finite Groups with all Elements of Prime Order"
• A New Characterization of SimpleK₃-Groups
• PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS
• A New Characterization of SimpleK₃-Groups by Their Orders and Large Degrees of Their Irreducible Characters
• On the sum of the inverses of the element orders in finite groups
• On simple \(K_4\)-groups
• Upper bounds for the product of element orders of finite groups

This page was built for publication: The characterization of some cyclic groups by the product of element orders