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arxiv: 1511.06929 · v2 · pith:REQ4GF3Inew · submitted 2015-11-21 · 🧮 math.GR

Distortion of embeddings of a torsion-free finitely generated nilpotent group into a unitriangular group

classification 🧮 math.GR
keywords distortionembeddingsfinitelygeneratedgroupgroupsnilpotenttorsion-free
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In this paper we study distortion of various well-known embeddings of finitely generated torsion-free nilpotent groups $G$ into unitriangular groups $UT_n(\mathbb{Z})$. We also provide a polynomial time algorithm for finding distortion of a given subgroup of $G$

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