Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics
Metric Geometry
2008-04-30 v1 Group Theory
Geometric Topology
Abstract
Suppose is a countable, not necessarily finitely generated, group. We show admits a proper, left-invariant metric such that the Assouad-Nagata dimension of is infinite, provided the center of is not locally finite. As a corollary we solve two problems of A.Dranishnikov.
Keywords
Cite
@article{arxiv.0804.4533,
title = {Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics},
author = {J. Higes},
journal= {arXiv preprint arXiv:0804.4533},
year = {2008}
}
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9 pages