Hilbert's Fifth Problem for Local Groups
Differential Geometry
2009-10-08 v3 Logic
Abstract
We solve Hilbert's fifth problem for local groups: every locally euclidean local group is locally isomorphic to a Lie group. Jacoby claimed a proof of this in 1957, but this proof is seriously flawed. We use methods from nonstandard analysis and model our solution after a treatment of Hilbert's fifth problem for global groups by Hirschfeld.
Keywords
Cite
@article{arxiv.0708.3871,
title = {Hilbert's Fifth Problem for Local Groups},
author = {Isaac Goldbring},
journal= {arXiv preprint arXiv:0708.3871},
year = {2009}
}