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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Format: | Article |
Language: | English |
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Sociedade Brasileira de Matemática
2014-01-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
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Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/19156 |