Liftability of periodic mapping classes under alternating covers

Apeksha Sanghi, Kashyap Rajeevsarathy, Rajesh Dey

Let $S_g$ be the closed orientable surface of genus $g\ge 2$, and let $\mathrm{Mod}(S_g)$ be the mapping class group of $S_g$. Let $A_n$ denote the alternating group on $n$ lette…