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

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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 $5$.
Classification : 20N05
Keywords: automorphic loop; semidirect product; middle nucleus; cyclic group 
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     title = {Odd order semidirect extensions of commutative automorphic loops},
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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/