A characterization by the product element orders for some groups. Issue 4 (18th May 2020)

• Record Type: Journal Article
• Authors: Mousavi, Seyed Farid; Gilani, Alireza; Alaeiyan, Mehdi; Golriz, Maryam
• Is Part Of: Journal of information & optimization sciences. Volume 41:Issue 4(2020)
• Page Start: 1133
• Page End: 1139
• Publication Date: 2020-05-18
• Subjects: 20D60; Product of element orders; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2020.1745384
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: Given a finite group G, we denote by ψ′( G ) the integer, where o ( g ) denotes the order of g ϵ G . It was proved by B. Khosravi and M. Baniasad Azad [12] that some finite simple group can be uniquely determined by its product of element orders. In this paper, we characterize Alt(5) × ℤ2 by its order and the product of element orders.