Про деякі узагальнення наближено нормальних підгруп

Abstract

A subgroup H of the group G is called almost polycyclically approximate to a normal one (in G), if H includes a subgroup L normal in H^G such that a factor-group H^G /L is almost polycyclic. A group G is said to be an anti PC-group, if every its non-polycyclic-by-finite subgroup is almost polycyclically approximate to a normal one. The study of generalized soluble anti PC- groups is finished in the present paper.