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Abstract Algebra. Automorphism groups
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Title: Abstract Algebra. Automorphism groups
Abstract: An automorphism is an isomorphism from a group G to itself. If G is a group, then the collection Aut(G) of automorphisms of G is itself a group (under function composition). The automorphism group of Z/nZ is isomorphic to U(n), the group of units modulo n under multiplication.
Abstract: An automorphism is an isomorphism from a group G to itself. If G is a group, then the collection Aut(G) of automorphisms of G is itself a group (under function composition). The automorphism group of Z/nZ is isomorphic to U(n), the group of units modulo n under multiplication.
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