The Magnus Embedding Is A Quasi-Isometry
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION（2012）
Abstract
We show that the Magnus embedding, which embeds the free solvable group S-d,S-r of rank r and degree d into the wreath product Z(r) (sic) S-d-1,S-r, is a quasi-isometry.
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Key words
Magnus embedding, quasi-isometry, free solvable groups
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