If N is a normal subgroup of G and \(| G / N | = m\) , show that \(x ^ { m } \in N\) for all x in G.
$x^m\in N$ when $|G/N|=m$
P-CH9S-063
- Area
- Algebra
- Status
- draft
P-CH9S-063
If N is a normal subgroup of G and \(| G / N | = m\) , show that \(x ^ { m } \in N\) for all x in G.