show that AUT(G)={Q: Q: G-> G is isomorph} has group structure under operation morphism

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- Aug 3rd 2008, 05:29 AMmathemanyakgroup structure?
show that AUT(G)={Q: Q: G-> G is isomorph} has group structure under operation morphism

- Aug 3rd 2008, 09:08 AMJaneBennet
Hint: The identity mapping on

*G*is an automorphism, and if $\displaystyle \phi,\psi$ are automorphisms, so are $\displaystyle \phi\circ\psi$ and $\displaystyle \phi^{-1}$.