Loops on spheres having a compact-free inner mapping group
Group Theory
2015-07-03 v1 Differential Geometry
Abstract
We prove that any topological loop homeomorphic to a sphere or to a real projective space and having a compact-free Lie group as the inner mapping group is homeomorphic to the circle. Moreover, we classify the differentiable -dimensional compact loops explicitly using the theory of Fourier series.
Cite
@article{arxiv.1507.00617,
title = {Loops on spheres having a compact-free inner mapping group},
author = {Ágota Figula and Karl Strambach},
journal= {arXiv preprint arXiv:1507.00617},
year = {2015}
}