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.
Figula, A., Al-Abayechi, A. (2020). Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent. International Journal of Group Theory, 9(2), 81-94. doi: 10.22108/ijgt.2019.114770.1522
MLA
Agota Figula; Ameer Al-Abayechi. "Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent". International Journal of Group Theory, 9, 2, 2020, 81-94. doi: 10.22108/ijgt.2019.114770.1522
HARVARD
Figula, A., Al-Abayechi, A. (2020). 'Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent', International Journal of Group Theory, 9(2), pp. 81-94. doi: 10.22108/ijgt.2019.114770.1522
VANCOUVER
Figula, A., Al-Abayechi, A. Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent. International Journal of Group Theory, 2020; 9(2): 81-94. doi: 10.22108/ijgt.2019.114770.1522
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