Title of article
Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent
Author/Authors
Figula, Agota Institute of Mathematics - University of Debrecen - Debrecen - Hungary , Al-Abayechi, Ameer Institute of Mathematics - University of Debrecen - Debrecen - Hungary
Pages
14
From page
81
To page
94
Abstract
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
Journal title
International Journal of Group Theory
Serial Year
2020
Record number
2525971
Link To Document