Then H is a subgroup of G if H is itself a group using the same operation as G. De hecho, ya queH has the same operation as G, we know that the operation in H is associativ...Then H is a subgroup of G if H is itself a group using the same operation as G. De hecho, ya queH has the same operation as G, we know that the operation in H is associative (since G is a group). El grupoG is always a subgroup of itself! (G is a subset of itself, which is a group with the same operation as G.) El conjunto de todos los poderes de un elementoh ({…,h−1,h−2,e,h,h2,…}) is a subgroup of G.
