4
votes
3answers
183 views
Automorphism of finite groups and Hurwitz spaces
If $G$ is a finite group, embedded as a transitive subgroup of $S_n$ for some $n$, will every automorphism of $G$ extend to an inner automorphism of $S_n$?
I'm trying to connect t …
2
votes
1answer
124 views
holomorphic automorphisms of universal cover of configuration spaces
Hello everyone,
I have been trying (without success) to determine the following. Let $P$ denote the space of monic polynomials of degree $n$ with complex coefficients, which have …
5
votes
1answer
214 views
Spaces parametrizing ramified covers of surfaces
Let $\Sigma$ be a surface (let's say oriented and of finite type). We can consider the configuration space $F(\Sigma,n)$ of $n$ ordered distinct points on $\Sigma$, i.e. $\Sigma^n\ …

