Geodesic
Schreier loops
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 759-786

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 20N05
Keywords: extension of loops; non-associative extension of groups; weak associativity properties of extensions; central extensions 
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     author = {Nagy, P\'eter T. and Strambach, Karl},
     title = {Schreier loops},
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Nagy, Péter T.; Strambach, Karl. Schreier loops. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 759-786. http://geodesic.mathdoc.fr/item/CMJ_2008__58_3_a13/