Hatcher-Algebraic-Topology · Problem 1.A.6

The Fundamental Group

Mathematics — Graph Theory · graphs-and-free-groups

Problem

Let FF be the free group on two generators and let F′F' be its commutator subgroup. Find a set of free generators for F′F' by considering the covering space of the graph S1∨S1S^1 \vee S^1 corresponding to F′F'.

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