Pyskun M. Generalized normal subgroups and their influence on a structure of a group

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U005685

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

22-12-2008

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

This dissertation contains the description of the groups, having an ascending series of normal subgroups with locally nilpotent or locally finite factors, in which a family of non nearly normal subgroups has a Krull dimension; the description of the groups, having an ascending series of normal subgroups with locally nilpotent or locally finite factors, in which a family of non almost normal subgroups has a Krull dimension; the description of the groups, having an ascending series of normal subgroups with locally nilpotent or locally finite factors, in which a family of non normal subgroups has a Krull dimension; the description of the groups, having an ascending series of normal subgroups with locally nilpotent or locally finite factors, in which a every non polycyclic - by - finite subgroup is almost polycyclic approximate to normal.

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