Groups, transversals, and loops

Tuval Foguel

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 2, page 261-269
  • ISSN: 0010-2628

Abstract

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A family of loops is studied, which arises with its binary operation in a natural way from some transversals possessing a ``normality condition''.

How to cite

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Foguel, Tuval. "Groups, transversals, and loops." Commentationes Mathematicae Universitatis Carolinae 41.2 (2000): 261-269. <http://eudml.org/doc/248640>.

@article{Foguel2000,
abstract = {A family of loops is studied, which arises with its binary operation in a natural way from some transversals possessing a ``normality condition''.},
author = {Foguel, Tuval},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {loops; groups; transversals; loops; groups; transversals},
language = {eng},
number = {2},
pages = {261-269},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Groups, transversals, and loops},
url = {http://eudml.org/doc/248640},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Foguel, Tuval
TI - Groups, transversals, and loops
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 2
SP - 261
EP - 269
AB - A family of loops is studied, which arises with its binary operation in a natural way from some transversals possessing a ``normality condition''.
LA - eng
KW - loops; groups; transversals; loops; groups; transversals
UR - http://eudml.org/doc/248640
ER -

References

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  11. Kepka T., Phillips J.D., Connected transversals to subnormal subgroups, Comment. Math. Univ. Carolinae 38 (1997), 223-230. (1997) Zbl0889.20020MR1455488
  12. Kiechle H., K -loops from classical groups over ordered fields, J. Geom. 61 (1998), 1-2 105-127. (1998) Zbl0904.20051MR1603817
  13. Kinyon M.K., Jones O., Loops and semidirect products, Comm. Algebra, submitted. Zbl0974.20049MR1772003
  14. Robinson D.J.S., A Course in the Theory of Groups, Springer, New York, 1995. Zbl0836.20001
  15. Sabinin L.V., Sabinina L.L., Sbitneva L.V., On the notion of gyrogroup, Aequationes Math. 56 (1998), 11-17. (1998) Zbl0923.20051MR1628291
  16. Sabinin L.V., On the equivalence of categories of loop and homogeneous spaces, Soviet Math. Dokl. 13 (1972), 4 970-974. (1972) 
  17. Ungar A.A., Axiomatic approach to the nonassociative group of relativistic velocities, Found. Phys. Lett. 2 (1989), 199-203. (1989) MR0994071

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