Let \(G\) be a finite abelian group and \(H\) a subgroup of \(G\). Show that \(G\) has a subgroup isomorphic with \(G/H\).
Question
Math 6310 • Algebra
Spring 2011 • Question 6
Question
Spring 2011 • Question 6
Let \(G\) be a finite abelian group and \(H\) a subgroup of \(G\). Show that \(G\) has a subgroup isomorphic with \(G/H\).