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On the solvability of commutative loops and their multiplication groups

Kari Myllylä; Markku Niemenmaa — 1999

Commentationes Mathematicae Universitatis Carolinae

We investigate the situation when the inner mapping group of a commutative loop is of order $2 p$ , where $p = 4 t + 3$ is a prime number, and we show that then the loop is solvable.

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