Kari Myllyl\"a, Markku Niemenmaa
On the solvability of commutative loops and their multiplication groups

Comment.Math.Univ.Carolinae 40,2 (1999) 209-213.

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

Keywords: solvability, loop, group
AMS Subject Classification: 20D10, 20N05