On the structure of groups with polynomial growth III
Group Theory
2021-04-23 v1 Algebraic Geometry
Differential Geometry
Representation Theory
Abstract
We show that a compactly generated locally compact group of polynomial growth having no non-trivial compact normal subgroups can be embedded as a co-compact subgroup into a semidirect product of a connected, simply connected, nilpotent Lie group and a compact group. There is also a uniqueness statement for this extension.
Cite
@article{arxiv.2002.09197,
title = {On the structure of groups with polynomial growth III},
author = {Viktor Losert},
journal= {arXiv preprint arXiv:2002.09197},
year = {2021}
}