Trebenko O. Groups with supercomplemented and C-separating subgroups

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U000597

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

05-02-2008

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

Properties of groups with a supercomplemented primary cyclic subgroup and groups with a C-separating subgroup under the conditions for the group to be locally graded or RN-group respectively are investigated. It is showed that these conditions are essential. It is established that the class of all groups with a C-separating subgroup is a proper subclass of the class of all groups with a supercomplemented primary cyclic subgroup.

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