Semko M. Groups with the denseness conditions of normality and its generalization for certain systems of subgroups

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0501U000045

Thesis Registration Form

0501U000045.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

01-02-2001

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

In other words, the groups G are investigated, which has a normal (almost normal) subgroup N located between two arbitrary subgroups A and B of the group G, where A is a subgroup from B; A and B are subgroups of a system of subgroups of the investigated group. Both finite and infinite locally graded (locally almost defined) groups with different denseness conditions of normality (almost normality) for certain systems of subgroups are studied.

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