Free group of Hamel functions
Group Theory
2023-06-23 v1
Abstract
We construct a free group of continuum many generators among those autobijections of which are also Hamel bases of , with identity function included. We also observe two new cases when a real function is a composition of two real functions which are Hamel bases of .
Keywords
Cite
@article{arxiv.2306.12445,
title = {Free group of Hamel functions},
author = {Mateusz Lichman and Michał Pawlikowski and Szymon Smolarek and Jarosław Swaczyna},
journal= {arXiv preprint arXiv:2306.12445},
year = {2023}
}