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Special Quasigroups and Steiner Systems

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Nearrings, Nearfields and K-Loops

Part of the book series: Mathematics and Its Applications ((MAIA,volume 426))

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Abstract

Let (V, *) be a quasigroup QG(υ) with |V| = υ.This means that for all a, b ∈ V the equations a * x = b, y * a = b have exactly one solution x, y ∈ V.

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References

  1. H. Karzel, Zusammenhänge zwischen Fastbereichen, scharf zweifach transitiven Permutationsgruppen und 2-Strukturen. Abh. Math. Sem. Univ. Hamburg 32 (1968), 191–206.

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  2. J. Shiftar, On the existence of AK n-quasigroups. Glasnik Mathematicki 18 (1983), 217–219.

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  3. S. K. Stein, Homogeneous quasigroups. Pacific Journal of Math. 14 (1964), 1091–1102.

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  4. H. Zeitler, Altes und Neues über Quasigruppen, to appear.

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© 1997 Kluwer Academic Publishers

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Shiftar, J., Zeitler, H. (1997). Special Quasigroups and Steiner Systems. In: Saad, G., Thomsen, M.J. (eds) Nearrings, Nearfields and K-Loops. Mathematics and Its Applications, vol 426. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1481-0_32

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  • DOI: https://doi.org/10.1007/978-94-009-1481-0_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7163-5

  • Online ISBN: 978-94-009-1481-0

  • eBook Packages: Springer Book Archive

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