@article {
author = {Mahmoudifar, Ali and Gharibkhajeh, Ayoub},
title = {Characterization of some alternating groups by order and largest element order},
journal = {AUT Journal of Mathematics and Computing},
volume = {3},
number = {1},
pages = {35-44},
year = {2022},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2021.19507.1047},
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 $A_n$, where $n\leq 31$ is determined by its order and its largest element order. Also, we show that $A_{32}$ is not characterizable by order and the largest element order.},
keywords = {Finite simple group,prime graph,the largest element order,alternating group},
url = {https://ajmc.aut.ac.ir/article_4571.html},
eprint = {https://ajmc.aut.ac.ir/article_4571_0eeffa99b6d5b70cfaaa4ff5169af4f5.pdf}
}