Geodesic
Odd order semidirect extensions of commutative automorphic loops
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 4, pp. 447-456

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

We analyze semidirect extensions of middle nuclei of commutative automorphic loops. We find a less complicated conditions for the semidirect construction when the middle nucleus is an odd order abelian group. We then use the description to study extensions of orders $3$ and $5$.
Classification : 20N05
Keywords: automorphic loop; semidirect product; middle nucleus; cyclic group 
@article{CMUC_2014__55_4_a1,
     author = {Jedli\v{c}ka, P\v{r}emysl},
     title = {Odd order semidirect extensions of commutative automorphic loops},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {447--456},
     publisher = {mathdoc},
     volume = {55},
     number = {4},
     year = {2014},
     mrnumber = {3269007},
     zbl = {06391553},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2014__55_4_a1/}
}
TY  - JOUR
AU  - Jedlička, Přemysl
TI  - Odd order semidirect extensions of commutative automorphic loops
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2014
SP  - 447
EP  - 456
VL  - 55
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2014__55_4_a1/
LA  - en
ID  - CMUC_2014__55_4_a1
ER  - 
%0 Journal Article
%A Jedlička, Přemysl
%T Odd order semidirect extensions of commutative automorphic loops
%J Commentationes Mathematicae Universitatis Carolinae
%D 2014
%P 447-456
%V 55
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2014__55_4_a1/
%G en
%F CMUC_2014__55_4_a1
Jedlička, Přemysl. Odd order semidirect extensions of commutative automorphic loops. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 4, pp. 447-456. http://geodesic.mathdoc.fr/item/CMUC_2014__55_4_a1/