Loops, reflection structures and graphs with parallelism.

DOI10.1007/BF03323555zbMath1046.20043MaRDI QIDQ1411430

Elena Zizioli, Silvia Pianta, Helmut Karzel

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

right loops\(K\)-loopsgraphs with parallelism

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Loops, quasigroups (20N05) Linear incidence geometric structures with parallelism (51A15)

Related Items (7)

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. ⋮ Binary operations derived from symmetric permutation sets and applications to absolute geometry ⋮ In memoriam: Helmut Karzel (1928--2021) ⋮ Left loops, bipartite graphs with parallelism and bipartite involution sets. ⋮ Loops, regular permutation sets and colourings of directed graphs.

Cites Work

• Kennzeichnung elliptischer Gruppenräume
• Projektive Inzidenzgruppoide und Fastalgebren
• On \(K\)-loops of finite order
• Connections between loops of exponent 2, reflection structures and complete graphs with parallelism
• Recent developments on absolute geometries and algebraization by K-loops
• Webs related to \(K\)-loops and reflection structures
• Bericht über projektive Inzidenzgruppen

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