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Abstract Algebra 49: Definition of isomorphisms
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Abstract Algebra 49: Definition of isomorphisms
Abstract: We explain the rigorous definition of what it means for two groups to be isomorphic. First we define what it means for a map from one group to another to be an isomorphism. Then, we say that groups G and H are isomorphic if there exists an isomorphism from G to H (which also implies the existence of an isomorphism from H to G).
This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
Abstract: We explain the rigorous definition of what it means for two groups to be isomorphic. First we define what it means for a map from one group to another to be an isomorphism. Then, we say that groups G and H are isomorphic if there exists an isomorphism from G to H (which also implies the existence of an isomorphism from H to G).
This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
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