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THE SYLOW THEOREMS 1. Introduction The converse of Lagrange’s theorem is false: if G is a finite group and d | |G|, then there may not be a subgroup of G with order d. The simplest example of this is the group A4 , of
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Document Date: 2016-12-17 15:24:30
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THE SYLOW THEOREMS 1. Introduction The converse of Lagrange’s theorem is false: if G is a finite group and d | |G|, then there may not be a subgroup of G with order d. The simplest example of this is the group A4 , of