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Abstract Algebra 50: An example isomorphism
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Abstract Algebra 50: An example isomorphism
Abstract: We show that the map phi from Z/4Z to the group {1,i,-1,-i} (equipped with multiplication) defined by phi(k) = i^k is an isomorphism. Hence the group {1,i,-1,-i} is a cyclic group.
This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
Abstract: We show that the map phi from Z/4Z to the group {1,i,-1,-i} (equipped with multiplication) defined by phi(k) = i^k is an isomorphism. Hence the group {1,i,-1,-i} is a cyclic group.
This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
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