Unformatted text preview: ψ ◦ ϕ : G → K is an isomorphism. c. Show that the notion of isomorphism is an equivalence relation on the collection of all groups. Exercise 86. Show that no two of Z 8 , U (16) and D 4 are isomorphic. Remember, the operation in Z 8 is addition mod 8, and the operation in U (16) is multiplication mod 16....
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This note was uploaded on 02/29/2012 for the course MATH 3326 taught by Professor Ryandaileda during the Fall '09 term at Trinity University.
- Fall '09