(3) Describe the covering space S¹ v S¹ corresponding to the commutator subgroup [F2, F2] ≤ F₂ = π₁(S¹ V S¹) What famili

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(3) Describe the covering space S¹ v S¹ corresponding to the commutator subgroup [F2, F2] ≤ F₂ = π₁(S¹ V S¹) What familiar group is the group of desk transformation isomorphic to? Describe isomorphism explicitly. Use the cover- ing space to deduce that [F2, F2] = F∞