Journal of Siberian Federal University. Mathematics & Physics / Metafields and Description of Metabelian Groups without the Involutions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (2)
Authors
Larin, Sergey V.
Contact information
Larin, Sergey V.
Keywords
metabelian group; involution; metafield; isomorphism
Abstract

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.

Pages
189-205
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1261