Figula, Ágota and Ficzere, Kornélia and Al-Abayechi, Ameer (2019) Topological loops with six-dimensional solvable multiplication groups having five-dimensional nilradical. Annales Mathematicae et Informaticae, 50. pp. 71-87. ISSN 1787-5021 (Print) 1787-6117 (Online)
|
Text
AMI_50_from71to87.pdf - Published Version Download (667kB) | Preview |
Abstract
Using connected transversals we determine the six-dimensional indecomposable solvable Lie groups with five-dimensional nilradical and their subgroups which are the multiplication groups and the inner mapping groups of three-dimensional connected simply connected topological loops. Together with this result we obtain that every six-dimensional indecomposable solvable Lie group which is the multiplication group of a three-dimensional topological loop has one-dimensional centre and two- or three-dimensional commutator subgroup.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | multiplication group of a topological loop, connected transversals, linear representations of solvable Lie algebras |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 20 Dec 2019 11:12 |
| Last Modified: | 03 Apr 2023 06:41 |
| URI: | http://real.mtak.hu/id/eprint/104752 |
Actions (login required)
 |
Edit Item |
