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 - Terry de la Mesa Allen, Sr. - Document - PDFSEARCH.IO

First Page		Document Content
Date: 2016-12-17 15:24:30		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 Add to Reading List Source URL: www.math.uconn.edu Download Document from Source Website File Size: 210,16 KB Share Document on Facebook