Helmut Voelklein
The monodromy group of a function on a general curve"
Abstract: If g>3 then every cover to P^1 from a general
curve of genus g that doesn't factor non-trivially has the
property that its monodromy group is either A_n or S_n.
Here n is the degree of the cover (and A_n resp. S_n the
alternating resp.symmetric group). For n=3 there are
certain other groups possible, classified by Guralnick
and others (requires the classification of finite simple
groups). We discuss this and the reverse problem of
showing that all these groups actually occur in the
above situation.