Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent

Autor:	Agota Figula, Ameer Al-Abayechi
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	multiplication group and inner mapping group of topological loops topological transformation group solvable lie algebras centrally nilpotent loops Mathematics QA1-939
Zdroj:	International Journal of Group Theory, Vol 9, Iss 2, Pp 81-94 (2020)
Druh dokumentu:	article
ISSN:	2251-7650 2251-7669
DOI:	10.22108/ijgt.2019.114770.1522
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4fbd3f80a5854a6182c67d2e613d0a7c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF