The multiplication groups of 2-dimensional topological loops

DOI10.1515/JGT.2008.087zbMath1165.22005arXiv1507.00148MaRDI QIDQ3631810

Ágota Figula

Publication date: 22 June 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00148

Mathematics Subject Classification ID

Other topological algebraic systems and their representations (22A30)

Related Items (7)

Topological loops with decomposable solvable multiplication groups ⋮ Lie groups as multiplication groups of topological loops ⋮ Topological loops with three-dimensional solvable left translation group ⋮ Multiplication groups of topological loops ⋮ Three-Dimensional Topological Loops with Solvable Multiplication Groups ⋮ Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent ⋮ Topological loops having solvable indecomposable Lie groups as their multiplication groups

Cites Work

• On multiplication groups of loops
• The extensibility of local Lie groups of transformations and groups on surfaces
• On connected transversals to Abelian subgroups
• Finite classical groups and multiplication groups of loops
• Contributions to the Theory of Loops
• Quasigroups. I

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