We introduce subgroups, the definition of subgroup, examples and non-examples of subgroups, and we prove that subgroups are groups. We also do an example proving a subset is a subgroup. If G is a group and H is a nonempty subset of G, we say H is a subgroup of G if H is closed with respect to inverses and closed under the group operation of G. #abstractalgebra #grouptheory
What are Groups?: • What is a Group? | Abstract Algebra
Abstract Algebra Course: • Abstract Algebra
Abstract Algebra Exercises:
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