kidzsearch.com > wiki Explore:web images videos games

# Coset

KidzSearch Safe Wikipedia for Kids.

If G is a group and H a subgroup of G, x is an element in G, and h is an element in H the **cosets** of H in G are defined as follows:

- Left coset: xH is the set of all the elements h of H multiplied by x on the left.
- Right coset: Hx is the set of all the elements h of H multiplied by x on the right.

When xH = Hx we say that H is normal in G.de:Gruppentheorie#Nebenklassen ru:Глоссарий теории групп#К