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Questions about the group of automorphisms of any mathematical object $X$ endowed with a given structure, i.e the group of all bijective maps from $X$ to itself preserving this structure, and hence helping study it further and understand it better.

4 votes

Can every involution of a symmetric directed graph be written as a power of another symmetry?

This answer builds upon Sam Hopkins' suggestion of an oriented toroidal grid, but it's more than a comment. Bottom line: need the grid to be $2^s$ by $2^s$ where $s\ge2$ to get the requested involutio …
Andrew Buchanan's user avatar