Geodesic
On finite commutative loops which are centrally nilpotent
Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 139-143.

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Let $Q$ be a finite commutative loop and let the inner mapping group $I(Q) \cong C_{p^n} \times C_{p^n}$, where $p$ is an odd prime number and $n \geq 1$. We show that $Q$ is centrally nilpotent of class two.
DOI : 10.14712/1213-7243.2015.113
Classification : 20D15, 20N05
Keywords: loop; inner mapping group; centrally nilpotent loop 
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Leppälä, Emma; Niemenmaa, Markku. On finite commutative loops which are centrally nilpotent. Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 139-143. doi : 10.14712/1213-7243.2015.113. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.113/

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