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problem:automorphismsofasquare2

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problem:automorphismsofasquare2 [2013/09/27 17:16]
tarafife created
problem:automorphismsofasquare2 [2013/09/27 17:17] (current)
tarafife
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 %center%http://bmw.byuimath.com/aa/lib/exe/fetch.php?cache=&media=wiki:graphpictures:labeledsquare.png%% %center%http://bmw.byuimath.com/aa/lib/exe/fetch.php?cache=&media=wiki:graphpictures:labeledsquare.png%%
  
-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, but $a$ is not the identity.   - There is an automorphism $a\in \aut(\mathcal{G})$ such that $a^2=a\circ a$ (the composition) is the identity automorphism, but $a$ is not the identity.
problem/automorphismsofasquare2.1380316597.txt.gz · Last modified: 2013/09/27 17:16 by tarafife