Polar graphs and corresponding involution sets, loops and Steiner triple systems.

DOI10.1007/s00025-006-0214-4zbMath1116.20043OpenAlexW2083081893MaRDI QIDQ860135

Silvia Pianta, Elena Zizioli, Helmut Karzel

Publication date: 23 January 2007

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

Full work available at URL: https://doi.org/10.1007/s00025-006-0214-4

zbMATH Keywords

Moufang loopsplanesinvolutorial difference loopsgraphs with parallelismpseudo-affine spacesregular involution sets

Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10) Structural characterization of families of graphs (05C75) Loops, quasigroups (20N05) Linear incidence geometric structures with parallelism (51A15)

Related Items (6)

Construction of a class of loops via graphs. ⋮ A note on characterizations of affine and Hall triple systems ⋮ Loops with two-sided inverses constructed by a class of regular permutation sets. ⋮ Slid product of loops: a generalization. ⋮ In memoriam: Helmut Karzel (1928--2021) ⋮ Loops, regular permutation sets and colourings of directed graphs.

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