Geodesic
Odd order semidirect extensions of commutative automorphic loops
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 4, pp. 447-456 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $5$.
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 
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     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},
     year = {2014},
     volume = {55},
     number = {4},
     mrnumber = {3269007},
     zbl = {06391553},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2014_55_4_a1/}
}
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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/