Kashyap Rajeevsarathy

Generating the liftable outer automorphism groups of regular cyclic covers

Let $R_n = \bigvee_{i=1}^{n} S^1$ be a finite connected one-dimensional CW complex with $n \geq 2$, and let $\mathrm{Out}(F_n)$ be the outer automorphism group of the free group $F_n$, where $\pi_1(R_n)\cong F_n$. Let $p_k:\tilde{R}_n\rightarrow R_n$ be the standard $k$-sheeted regular cyclic cover of $R_n$ induced by...