@article {
author = {Figula, Agota and Al-Abayechi, Ameer},
title = {Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent},
journal = {International Journal of Group Theory},
volume = {9},
number = {2},
pages = {81-94},
year = {2020},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2019.114770.1522},
abstract = {The main result of our consideration is the proof of the centrally nilpotency of class two property for connected topological proper loops $L$ of dimension $\le 3$ which have an at most six-dimensional solvable indecomposable Lie group as their multiplication group. This theorem is obtained from our previous classification by the investigation of six-dimensional indecomposable solvable multiplication Lie groups having a five-dimensional nilradical. We determine the Lie algebras of these multiplication groups and the subalgebras of the corresponding inner mapping groups.},
keywords = {Multiplication group and inner mapping group of topological loops,topological transformation group,solvable Lie algebras,centrally nilpotent loops},
url = {http://ijgt.ui.ac.ir/article_23511.html},
eprint = {http://ijgt.ui.ac.ir/article_23511_9f0b68dcbecfb72da78de4a261cbfbd0.pdf}
}