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The Magnus embedding is a quasi-isometry

Published 7 Jul 2012 in math.GR | (1207.1830v1)

Abstract: We show that the Magnus embedding, which embeds the free solvable group of rank r and degree d into the wreath product of the free abelian group of rank r with the free solvable group of rank r and degree d-1, is a quasi-isometry.

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