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Free Group

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+0.2Growth 90d
Dec 2022Created

About

The free group on a given set S is the free object on S in the category of groups. (nlab)
Rules
Given any function f from S to a group G‚ there exists a unique homomorphism φ from this group F_S to G‚ satisfying f = φ . ι (where ι is the inclusion from S into F_S)

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