Three-dimensional loops as sections in a four-dimensional solvable Lie group
Group Theory
2015-07-03 v1
Abstract
We classify all three-dimensional connected topological loops such that the group topologically generated by their left translations is the four-dimensional connected Lie group which has trivial center and precisely two one-dimensional normal subgroups. We show that is not the multiplication group of connected topological proper loops.
Cite
@article{arxiv.1507.00631,
title = {Three-dimensional loops as sections in a four-dimensional solvable Lie group},
author = {Ágota Figula},
journal= {arXiv preprint arXiv:1507.00631},
year = {2015}
}
Comments
World Sci. Publ., Hackensack, NJ, 2012. arXiv admin note: text overlap with arXiv:1506.09147