Hatcher-Algebraic-Topology · Problem 1.3.31

The Fundamental Group

Mathematics — Graph Theory · covering-spaces

Problem

Show that the normal covering spaces of

S^1 \vee S^1

are precisely the graphs that are Cayley graphs of groups with two generators. More generally, the normal covering spaces of the wedge sum of

n

circles are the Cayley graphs of groups with

n

generators.