Connected transversals and multiplication groups of loops
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NIEMENMAA, Markku, RYTTY, Miikka. Connected transversals and multiplication groups of loops . In: Quasigroups and Related Systems, 2007, vol. 15, nr. 1(17), pp. 95-107. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 15, Numărul 1(17) / 2007 / ISSN 1561-2848

Connected transversals and multiplication groups of loops

Pag. 95-107

Niemenmaa Markku, Rytty Miikka
 
 
 
Disponibil în IBN: 14 decembrie 2013


Rezumat

Several properties of loops and their multiplication groups can be reduced to the proper- ties 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 nite nontrivial cyclic group.

Cuvinte-cheie
loop, Group,

connected transversals