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problem:automorphismsofasquare2 [2013/09/27 17:17] tarafife |
problem:automorphismsofasquare2 [2013/09/27 17:17] (current) tarafife |
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| - | Recall that set of all automorphisms of $\mathcal{G}$ is written $\aut(\mathcal{G})$. We listed all the elements in this set in problem [[Problem:AutomorphismsOfASquare]]. | + | Recall that set of all automorphisms of $\mathcal{G}$ is written $\aut(\mathcal{G})$. We listed all the elements in this set in problem [[Problem:Automorphisms Of A Square]]. |
| Determine if each statement below is true or false. Make sure you justify your answers. | Determine if each statement below is true or false. Make sure you justify your answers. | ||
| - There is an automorphism $a\in \aut(\mathcal{G})$ such that $a^2=a\circ a$ (the composition) is the identity automorphism, | - There is an automorphism $a\in \aut(\mathcal{G})$ such that $a^2=a\circ a$ (the composition) is the identity automorphism, | ||