A new characterization of some Mathieu groups by the number of Sylow subgroups
oleh: Alireza Khalili Asboei, Syyed Sadegh Salehi Amiri, Ali Iranmanesh, Abolfazl Tehranian
| Format: | Article |
|---|---|
| Diterbitkan: | Sociedade Brasileira de Matemática 2013-01-01 |
Deskripsi
Let G be a finite group with trivial center and n_{p}(G) be the number of Sylow p- subgroup of G. In this paper we prove that if n_{p}(G)=n_{p}(M_{n}), for every prime p in pi (G), where n in {11, 12}, then M_{n}<= G <= Aut(M_{n}).