A New Characterization of the Mathieu Groups of degree 11 and 12 by the Number of Sylow Subgroups



Document title: A New Characterization of the Mathieu Groups of degree 11 and 12 by the Number of Sylow Subgroups
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000365655
ISSN: 0037-8712
Authors: 1
1
2
1
Institutions: 1Islamic Azad University, Science and Research Branch Tehran, Teherán. Irán
2Tarbiat Modares University, Faculty of Mathematical Sciences, Teherán. Irán
Year:
Volumen: 31
Number: 1
Pages: 213-218
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract Let G be a finite group with trivial center and np(G) be the number of Sylow p−subgroup of G. In this paper we prove that if G is a centerless group and np(G)=np(M), where M denotes either of the Mathieu groups M11 or M12 for every prime p 2 (G), then M G Aut(M)
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Grupos finitos,
Subgrupo de Sylow,
Grupos de Mathieu,
Grupos simples
Keyword: Mathematics,
Applied mathematics,
Pure mathematics,
Finite groups,
Sylow subgroup,
Mathieu groups,
Simple groups
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