This shows you the differences between two versions of the page.
Next revision | Previous revision | ||
problem:automorphismsofasquare2 [2013/09/27 17:16] tarafife created |
problem:automorphismsofasquare2 [2013/09/27 17:17] (current) tarafife |
||
---|---|---|---|
Line 5: | Line 5: | ||
%center%http:// | %center%http:// | ||
- | 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/ | + | 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: |
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, |