Characterization of some alternating groups by order and the largest element order

2020/06/14 by Ali Mahmoudifar, Mahmoudifar, Ali, Ayoub Gharibkhajeh +1
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2006.07961

openalex publication_date 2020/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The prime graph (or Gruenberg-Kegel graph) of a finite group G is a familiar graph. In this paper first, we investigate the structure of the finite groups with a non-complete prime graph. Then we prove that every alternating group A_n, where n≤20 or n∈\23,24\ is determined by its order and its largest element order.

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