Left loops, bipartite graphs with parallelism and bipartite involution sets.

DOI10.1007/BF02942043zbMath1088.20039MaRDI QIDQ2581051

Silvia Pianta, Helmut Karzel

Publication date: 10 January 2006

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Bol loopsgraphs with parallelisminvolution setssemi-regular left loops

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Loops, quasigroups (20N05) Linear incidence geometric structures with parallelism (51A15)

Related Items (5)

Construction of a class of loops via graphs. ⋮ Loops with two-sided inverses constructed by a class of regular permutation sets. ⋮ Slid product of loops: a generalization. ⋮ A class of fibered loops related to general hyperbolic planes ⋮ In memoriam: Helmut Karzel (1928--2021)

Cites Work

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• The geometry of binary systems
• Loops, reflection structures and graphs with parallelism.
• Connections between loops of exponent 2, reflection structures and complete graphs with parallelism
• Theory of K-loops
• Recent developments on absolute geometries and algebraization by K-loops
• Minimal Edge-Colourings of Complete Graphs

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