The Magnus embedding is a quasi-isometry
classification
🧮 math.GR
keywords
freegrouprankdegreeembeddingmagnusquasi-isometrysolvable
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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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