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In mathematics, the Hochschild–Mostow group, introduced by Hochschild and Mostow (1957), is the universal pro-affine algebraic group generated by a group.
References

Hochschild, G.; Mostow, G. D. (1957), "Representations and representative functions of Lie groups", Annals of Mathematics. Second Series 66: 495–542, ISSN 0003-486X, MR0098796

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