• Mathematics
  • Published 2000

Groups, transversals, and loops

@inproceedings{Foguel2000GroupsTA,
  title={Groups, transversals, and loops},
  author={Tuval Foguel},
  year={2000}
}
Abstract. A family of loops is studied, which arises with its binary operation in a naturalway from some transversals possessing a “normality condition”.Keywords: loops, groups, transversalsClassification: Primary 20N05; Secondary 20D99 §1. IntroductionThe study of loops leads in a natural way to the study of transversals of sub-groups, for example the works of: Karzel, Kepka, Kiechle, Kinyon, Niemenmaa,Phillips, Sabinin, Ungar, and et al. [6], [10], [11], [13], [15], [16]. Loops have alsoplayed… CONTINUE READING

Tables from this paper.

Citations

Publications citing this paper.
SHOWING 1-3 OF 3 CITATIONS

References

Publications referenced by this paper.
SHOWING 1-10 OF 15 REFERENCES

Raum-Zeit-Welt und hyperbolische Geometrie, Beiträge zur Geometrie und Algebra

H. Karzel
  • Technische Universität München, Mathematisches Institut,
  • 1994
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

On the equivalence of categories of loop and homogeneous spaces

L. V. Sabinin
  • Soviet Math. Dokl
  • 1972
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

A Course in the Theory of Groups

D.J.S. Robinson
  • 1995
VIEW 1 EXCERPT