Free groups, covering spaces and Artin's theorem
classification
🧮 math.HO
math.AT
keywords
artinfreenoteprooftheoremapproachcommutatorcovering
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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.
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