| Abstract: | File bases — special systems of group generators generalizing the usual bases of Abelian groups — are considered. Examples
of such bases in different group classes are listed. It is shown that if some initial groups have file bases, then direct
and free products of these groups as well as their extensions also have such bases. With some additional restrictions imposed,
the existence of a file basis in factor groups is proved. A list of problems is offered.
Translated fromAlgebra i Logika, Vol. 34, No. 3, pp. 247-261, May-June, 1995. |
