Geodesic
Commutative subloop-free loops
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 4, pp. 473-484

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

We describe, in a constructive way, a family of commutative loops of odd order, $n\geq 7$, which have no nontrivial subloops and whose multiplication group is isomorphic to the alternating group $\mathcal{A}_n$.
Classification : 20D06, 20N05
Keywords: loops; multiplication group; alternating group 
@article{CMUC_2011__52_4_a0,
     author = {Beaudry, Martin and Marchand, Louis},
     title = {Commutative subloop-free loops},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {473--484},
     publisher = {mathdoc},
     volume = {52},
     number = {4},
     year = {2011},
     mrnumber = {2863992},
     zbl = {1249.20078},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2011__52_4_a0/}
}
TY  - JOUR
AU  - Beaudry, Martin
AU  - Marchand, Louis
TI  - Commutative subloop-free loops
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2011
SP  - 473
EP  - 484
VL  - 52
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2011__52_4_a0/
LA  - en
ID  - CMUC_2011__52_4_a0
ER  - 
%0 Journal Article
%A Beaudry, Martin
%A Marchand, Louis
%T Commutative subloop-free loops
%J Commentationes Mathematicae Universitatis Carolinae
%D 2011
%P 473-484
%V 52
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2011__52_4_a0/
%G en
%F CMUC_2011__52_4_a0
Beaudry, Martin; Marchand, Louis. Commutative subloop-free loops. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 4, pp. 473-484. http://geodesic.mathdoc.fr/item/CMUC_2011__52_4_a0/