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Tag Archives: subgroups
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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Casual Introduction to Group Theory (3)
Subgroups [ This article approximately corresponds to chapter III of the group theory blog. ] Let G be a group under operation *. If H is a subset of G, we wish to turn H into a group by inheriting the operation from G. Clearly, … Continue reading
Posted in Notes
Tagged cyclic groups, generated groups, group theory applications, groups, intermediate, number theory, subgroups
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