Consider $S_3$ with this presentation: $S_3=\left\langle\sigma,\tau:\sigma^2=1, \sigma\tau=\tau^{-1}\sigma\right\rangle$. Let F be the free group with two generators $s,t$ and $R$ the minimal normal subgroup of $F$ containing $s^2$ and $sts^{-1}t$. What is the covering space of the bouquet of 2 circles corresponding to $R$?
The covering space of a bouquet of 2 circles corresponding to a normal subgroup
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algebraic-topology
covering-spaces