Geodesic
The free commutative automorphic $2$-generated loop of nilpotency class $3$
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 321-336.

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

A loop is automorphic if all its inner mappings are automorphisms. We construct the free commutative automorphic $2$-generated loop of nilpotency class $3$. It has dimension $8$ over the integers.
Classification : 20N05
Keywords: free commutative automorphic loop; automorphic loop; associator calculus 
@article{CMUC_2012__53_3_a0,
     author = {Barros, Dylene Agda Souza de and Grishkov, Alexander and Vojt\v{e}chovsk\'y, Petr},
     title = {The free commutative automorphic $2$-generated loop of nilpotency class $3$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {321--336},
     publisher = {mathdoc},
     volume = {53},
     number = {3},
     year = {2012},
     mrnumber = {3017833},
     zbl = {1256.20065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a0/}
}
TY  - JOUR
AU  - Barros, Dylene Agda Souza de
AU  - Grishkov, Alexander
AU  - Vojtěchovský, Petr
TI  - The free commutative automorphic $2$-generated loop of nilpotency class $3$
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2012
SP  - 321
EP  - 336
VL  - 53
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a0/
LA  - en
ID  - CMUC_2012__53_3_a0
ER  - 
%0 Journal Article
%A Barros, Dylene Agda Souza de
%A Grishkov, Alexander
%A Vojtěchovský, Petr
%T The free commutative automorphic $2$-generated loop of nilpotency class $3$
%J Commentationes Mathematicae Universitatis Carolinae
%D 2012
%P 321-336
%V 53
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a0/
%G en
%F CMUC_2012__53_3_a0
Barros, Dylene Agda Souza de; Grishkov, Alexander; Vojtěchovský, Petr. The free commutative automorphic $2$-generated loop of nilpotency class $3$. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 321-336. http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a0/