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IMI/Publicaţii/QRS/Ediţii/QRS v.15, n.1 (17), 2007/

Connected transversals and multiplication groups of loops

Authors: M. Niemenmaa and M. Rytty

Abstract

Several properties of loops and their multiplication groups can be reduced to the properties of connected transversals in groups. We discuss these transversals and prove group theoretical results which have direct loop theoretical consequences. We are particularly interested in the case where the inner mapping group is abelian and we show that it can never be a finite nontrivial cyclic group.

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