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Keywords:
automorphic loop; semidirect product; middle nucleus; cyclic group
automorphic loop; semidirect product; middle nucleus; cyclic group
Summary:
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 $5$.
References:
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