Characterization of some alternating groups by order and largest element order
| Autor: | Ali Mahmoudifar, Ayoub Gharibkhajeh |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | AUT Journal of Mathematics and Computing, Vol 3, Iss 1, Pp 35-44 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2783-2449 2783-2287 |
| DOI: | 10.22060/ajmc.2021.19507.1047 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|