REAL

Topological loops with six-dimensional solvable multiplication groups having five-dimensional nilradical

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)

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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: 20 Dec 2019 11:12
URI: http://real.mtak.hu/id/eprint/104752

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