2019/04/13 by Gopala Krishna Srinivasan, Srinivasan, Gopala Krishna
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #History and Overview (math.HO) #math.AT #math.HO
paper · pdf · doi:10.48550/arxiv.1904.07689
arxiv created 2019/05/14 · arxiv updated 2019/05/15
In this expository note we provide a proof of Artin's theorem which states that the commutator subgroup of a free group on two generators is not finitely generated. The proof employs the infinite grid as in two other proofs in the literature mentioned in the note but takes a somewhat different approach which seems to be of didactic value.