Bourbaki

Exercise 11, § 7

Algebra, I, p. 144

The group defined by the presentation ⟨x,y;x2,y3,(xy)2⟩\langle x, y ; x^2, y^3, (xy)^2 \rangle is isomorphic to S3\mathfrak{S}_3.

Solution

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Machine translation of the English, by gpt-5-mini. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.