On finite loops whose inner mapping groups are direct products of dihedral groups and abelian groups
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2024-04-17 17:39
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LEPPALA, Emma, NIEMENMAA, Markku. On finite loops whose inner mapping groups are direct products of dihedral groups and abelian groups. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 2(28), pp. 257-260. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 2(28) / 2012 / ISSN 1561-2848

On finite loops whose inner mapping groups are direct products of dihedral groups and abelian groups

Pag. 257-260

Leppala Emma, Niemenmaa Markku
 
University of Oulu
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

We show that a nite loop, whose inner mapping group is a direct product of a dihedral group and an abelian group, is solvable provided that the components in the direct product have coprime orders.

Cuvinte-cheie
loop,

inner mapping group, solvable loop, solvable group