Schreier loops

Péter T. Nagy; Karl Strambach

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 3, page 759-786
  • ISSN: 0011-4642

Abstract

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We study systematically the natural generalization of Schreier's extension theory to obtain proper loops and show that this construction gives a rich family of examples of loops in all traditional common, important loop classes.

How to cite

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Nagy, Péter T., and Strambach, Karl. "Schreier loops." Czechoslovak Mathematical Journal 58.3 (2008): 759-786. <http://eudml.org/doc/37867>.

@article{Nagy2008,
abstract = {We study systematically the natural generalization of Schreier's extension theory to obtain proper loops and show that this construction gives a rich family of examples of loops in all traditional common, important loop classes.},
author = {Nagy, Péter T., Strambach, Karl},
journal = {Czechoslovak Mathematical Journal},
keywords = {extension of loops; non-associative extension of groups; weak associativity properties of extensions; central extensions; extensions of loops; non-associative extensions of groups; weak associativity properties of extensions; central extensions},
language = {eng},
number = {3},
pages = {759-786},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Schreier loops},
url = {http://eudml.org/doc/37867},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Nagy, Péter T.
AU - Strambach, Karl
TI - Schreier loops
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 3
SP - 759
EP - 786
AB - We study systematically the natural generalization of Schreier's extension theory to obtain proper loops and show that this construction gives a rich family of examples of loops in all traditional common, important loop classes.
LA - eng
KW - extension of loops; non-associative extension of groups; weak associativity properties of extensions; central extensions; extensions of loops; non-associative extensions of groups; weak associativity properties of extensions; central extensions
UR - http://eudml.org/doc/37867
ER -

References

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