Title of article
Characterization of some alternating groups by order and largest element order
Author/Authors
Mahmoudifar, Ali Department of Mathematics - Islamic Azad University North Tehran Branch - Tehran, Iran , Gharibkhajeh, Ayoub Department of Mathematics - Islamic Azad University North Tehran Branch - Tehran, Iran
Pages
10
From page
35
To page
44
Abstract
The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph. Then as an application, we prove that every alternating group An, where n≤31 is determined by its order and its largest element order. Also, we show that A32 is not characterizable by order and the largest element order.
Keywords
Finite simple group , Prime graph , The largest element order , Alternating group
Journal title
AUT Journal of Mathematics and Computing
Serial Year
2022
Record number
2727539
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