Multiplicative Loops of 2-Dimensional Topological Quasifields

DOI10.1080/00927872.2015.1053905zbMath1351.22001arXiv1507.01137OpenAlexW1506328737MaRDI QIDQ2815413

Karl Strambach, Ágota Figula, Giovanni Falcone

Publication date: 28 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01137

zbMATH Keywords

translation planelooptopological loopquasifieldtopological translation plane

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Translation planes and spreads in linear incidence geometry (51A40) Other topological algebraic systems and their representations (22A30) Generalizations of fields (12K99)

Related Items (3)

Our friend and mathematician Karl Strambach ⋮ Multiplicative loops of topological quasifields ⋮ Multiplicative loops of quasifields having complex numbers as kernel

Cites Work

• Loops on spheres having a compact-free inner mapping group
• 4-dimensionale Translationsebenen mit kommutativer Standgruppe
• Zweidimensionale Quasialgebren mit Nullteilern
• Translation planes. Foundations and construction principles
• 4-dimensionale Translationsebenen mit irreduzibler Kollineationsgruppe
• Nicht-desarguessche 4-dimensionale Ebenen
• 4-dimensionale Translationsebenen. (4-dimensional translation planes)
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• A new family of locally compact 4-dimensional translation planes admitting a 7-dimensional collineation group

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