Markku Niemenmaa

Markku Niemenmaa
On the structure of finite loop capable Abelian groups

Comment.Math.Univ.Carolin. 48,2 (2007) 217-224.

Abstract:Loop capable groups are groups which are isomorphic to inner mapping groups of loops. In this paper we show that abelian groups $C_p^{k}\times C_p\times C_p$, where $k\geq 2$ and $p$ is an odd prime, are not loop capable groups. We also discuss generalizations of this result.

Keywords: loop, group, connected transversals
AMS Subject Classification: 20D10, 20N05

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Markku Niemenmaa On the structure of finite loop capable Abelian groups

Markku Niemenmaa
On the structure of finite loop capable Abelian groups