A new characterization of the projective linear groups by the Sylow numbers

Let G be a finite group, pi (G) be the set of primes p such that G contains an element of order p and n_{p}(G) be the number of Sylow p-subgroup of G, that is, n_{p}(G)=|Syl_{p}(G)|. Set NS(G):=\{n_{p}|p\in \pi (G)\}, the set of the all of the number of Sylow subgroups of G. In this paper, we show t...

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Bibliographic Details
Main Author: Alireza Khalili Asboei
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2014-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/19156