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Keywords:
loop; inner mapping group; centrally nilpotent loop
loop; inner mapping group; centrally nilpotent loop
Summary:
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.
References:
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