Let G be a finite group and let H be a normal subgroup of G. Prove that the order of the element gH in \(G / H\) must divide the order of g in G.
The order of $gH$ divides the order of $g$
P-CH9S-037
- Area
- Algebra
- Status
- draft
P-CH9S-037
Let G be a finite group and let H be a normal subgroup of G. Prove that the order of the element gH in \(G / H\) must divide the order of g in G.