Articles dedicated to anniversary of Prof. V. Belousov (continuation of previous issue)

General form transversals in groups

Eugene Kuznetsov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, 5 Academiei str., Chishinau, MD-2028, Moldova

Abstract: The classical notion of transversal in group to its subgroup is generalised. It is made with the help of reducing any conditions on the choice of representatives of the left (right) cosets in group to its subgroup. Obtained general form transversals are investigated and some its properties are studied.

Keywords and phrases: quasigroup, loop, transversal.

MSC: 20N05

Received: 30.01.2016

Language: English