Geodesic
Metafields and Description of Metabelian Groups without the Involutions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 189-205.

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The term quasifield is introduced for the description of metabelian groups but it also bears an independent meaning. It is proved that any finally generated metabelian group contains a generating set compared to which any element has a uniquely represented record. The elements of a group are multiplied under the formula that is defined by a characteristic numerical set. In addition, the characteristic numerical set defines the group uniquely up to isomorphisms.
Keywords: metabelian group, involution, metafield
Mots-clés : isomorphism. 
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Sergey V. Larin. Metafields and Description of Metabelian Groups without the Involutions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 189-205. http://geodesic.mathdoc.fr/item/JSFU_2009_2_2_a6/

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