2. HOMOMORPHISMS AND SUBGROUPS 33 Theorem 2.8. If G is a group and X is a nonempty subset of G, then the subgroup (X) ge
Posted: Tue Sep 07, 2021 7:47 am
2. HOMOMORPHISMS AND SUBGROUPS 33 Theorem 2.8. If G is a group and X is a nonempty subset of G, then the subgroup (X) generated by X consists of all finite products a "a,m...a"(a; eX;n; € Z). In particular for every a e G, (a) = (a" | nez.