Infinite Approximate Subgroups of Soluble Lie Groups
Group Theory
2019-09-27 v1
Abstract
We study infinite approximate subgroups of soluble Lie groups. Generalising a theorem of Fried and Goldman we show that approximate subgroups are close, in a sense to be defined, to genuine connected subgroups. Building up on this result we prove a structure theorem for approximate lattices in soluble Lie groups. This extends to soluble Lie groups a theorem about quasi-crystals due to Yves Meyer.
Keywords
Cite
@article{arxiv.1909.12151,
title = {Infinite Approximate Subgroups of Soluble Lie Groups},
author = {Simon Machado},
journal= {arXiv preprint arXiv:1909.12151},
year = {2019}
}