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

被引：0

作者：

Gul, Funda ^{[1
]}

Myasnikov, Alexei G. ^{[1
]}

Sohrabi, Mahmood ^{[1
]}

机构：

[1] Stevens Inst Technol, 1 Castle Point Terrace, Hoboken, NJ 07030 USA

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2017年 / 27卷 / 06期

基金：

美国国家科学基金会;

关键词：

Nilpotent groups; subgroup distortion; Nickel's embedding; Jennings' embedding; unitriangular groups; Mal'cev basis; Heisenberg group;

D O I：

10.1142/S021819671750031X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study distortion of various well-known embeddings of finitely generated torsion-free nilpotent groups G into unitriangular groups UTn(Z). In particular, we show that there is no undistorted embeddings of 5-dimensional Heisenberg group into UTn(Z). We also provide a polynomial time algorithm for finding distortion of a given subgroup of G.

引用

页码：633 / 653

页数：21

共 10 条

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