Primeiro Teorema de Sylow
This work aims to illustrate and demonstrate Sylow's First Theorem, which is part of Sylow's Theorems, which are the basis of some applications in group theory. Initially, we present results and basic concepts of groups, subgroups, cyclic groups, side classes, normal subgroup, quotient gro...
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| Formato: | bachelorThesis |
| Idioma: | pt_BR |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/50938 |
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| Resumo: | This work aims to illustrate and demonstrate Sylow's First Theorem, which is part of Sylow's Theorems, which are the basis of some applications in group theory. Initially, we present results and basic concepts of groups, subgroups, cyclic groups, side classes, normal subgroup, quotient group, homomorphism and isomorphism of groups. In addition of the theory of operation on a group and of Lagrange's Theorem, an outstanding result in the theory of finite groups, thus giving the necessary theoretical support to approach the main result. In the next chapter, we define $p-$Sylow subgroups to when we get to the statement and proof of Sylow's First Theorem, then we show some examples. |
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