GRUPOS DE PERMUTAÇÕES E GRUPOS FINITOS SIMPLES

Abstract

The normality of subgroups in a finite group has a property discovered by E. Galois in 1832, study-group of permutations of roots of polynomial equations. Since then, this concept was explored extensively by adding definitions and properties that contributed to the description of various concepts of impact on the structure of finite groups. This paper presents an introductory development of group theory of permutations, in order to present examples of simple groups. This research has provided important technical contact for the development of group theory, based on normal subgroups, centralizers,class equation, p-groups and Sylow first theorem.

Keywords

• Normal subgroups
• Permutations
• Solvable groups