A New Characterization of some Mathieu Groups by the Number of Sylow Subgroups
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}).
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2013-02-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14818 |