Show that for any positive integer \(n\), every element of order 2 in the alternating group \(A_n\) is the square of an element of order 4 in the symmetric group \(S_n\).
Question
Math 6310 • Algebra
Spring 2010 • Question 1
Question
Spring 2010 • Question 1
Show that for any positive integer \(n\), every element of order 2 in the alternating group \(A_n\) is the square of an element of order 4 in the symmetric group \(S_n\).