On some developments in investigation of groups with prescribed properties of generalized normal subgroups

V. V. Kirichenko, L. A. Kurdachenko

Abstract


The survey is dedicated to investigation of groups with prescribed properties of generalized normal subgroups. The roots of such investigations lie in the works by R. Dedekind, R. Baer, O.Yu.Schmidt, and S.N. Chernikov. The main goal of this survey is to reflect some important developments in this area.


Keywords


normal subgroups, arrangement of subgroups, fan subgroups, pronormal subgroups, abnormal subgroups, quasicental subgroups

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