English

A characterization of some projective special linear groups

Group Theory 2016-06-02 v1

Abstract

In this paper, we show that projective special linear groups S:=L3(q)S:=L_3(q) with qq less than 100100 are uniquely determined by their orders and degree patterns of their prime graphs. Indeed, we prove that if GG is a finite group whose order and degree pattern of its prime graph is the same as the order and the degree pattern of SS, then GG is isomorphic to SS.

Keywords

Cite

@article{arxiv.1606.00038,
  title  = {A characterization of some projective special linear groups},
  author = {Ashraf Daneshkhah and Younes Jalilian},
  journal= {arXiv preprint arXiv:1606.00038},
  year   = {2016}
}
R2 v1 2026-06-22T14:14:20.232Z