I just learn about fixed point free of order 2 and when G is finite, this is nothing but map $\phi (x)= x^{-1}$. I am looking for example of fixed point free of order 2 which is not the map which $\phi (x)= x^{-1}$.
2026-03-29 10:18:08.1774779488
Example of fixed point free of order 2 which is not inverse mapping
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