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Tag Archives: normal subgroups
Casual Introduction to Group Theory (6)
Homomorphisms [ This post roughly corresponds to Chapter VI of the old blog. ] For sets, one considers functions f : S → T between them. For groups, one would like to consider only actions which respect the group operation. Definition. Let G and … Continue reading
Posted in Notes
Tagged advanced, factor through, group theory, homomorphism, isomorphism theorems, normal subgroups, universal properties
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Casual Introduction to Group Theory (5)
Normal Subgroups and Group Quotients [ This corresponds to approximately chapter V of the old blog. ] We’ve already seen that if H ≤ G is a subgroup, then G is a disjoint union of (left) cosets of H in G. We’d like to use the set … Continue reading
Posted in Notes
Tagged advanced, group quotients, group theory, groups, normal subgroups, subgroups
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