A new characterization of some Mathieu groups by the number of Sylow subgroups

Autores

  • Alireza Khalili Asboei Azad University Science and Research Branch Department of Mathematics
  • Syyed Sadegh Salehi Amiri Azad University Science and Research Branch Department of Mathematics
  • Ali Iranmanesh Tarbiat Modares University Faculty of Mathematical Sciences Department of Mathematics
  • Abolfazl Tehranian Azad University Science and Research Branch Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v31i1.14818

Palavras-chave:

Finite Group, simple group, Sylow subgroup

Resumo

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}).

Downloads

Publicado

2012-01-28

Edição

v. 31 n. 1 (2013)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Crossref
Scopus
Google Scholar
Europe PMC