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Information × Registration Number 0216U002385, 0114U000178 , R & D reports Title Investigation of the structure of infinite groups with restrictions on system of subgroups and modules and linear groups associated with them popup.stage_title Head Kurdachenko Leonid, Доктор фізико-математичних наук Registration Date 29-02-2016 Organization Dniepropetrovsk national university popup.description2 The object of research: generalized solvable groups, modules over group rings, Lie algebra. The aim of research is the investigation of generalized solvable groups and associated modules; study influence of systems subgroups that are close to normal on the structure of generalized solvable groups; obtaining analogues of Schur's and Baer's theorems on the theory of modules and some types of algebras. Methods of research - modern methods of the theory of groups, rings and modules. For a wide range of locally generalized radical groups was obtained that the finiteness of section p-rank of factor group of the k-th term of the upper central series implies the finiteness of section p-rank of (k+1)-th term of the lower central series. A description of the structure of space wich all subspace are near G-invariant, or almost G-invariant. The structure of spaces, each subspace of which is almost G-invariant and describes the structure of G, acting on the space. A complete description of the structure of space, every subspace of which is near G-invariant and describe the structure of G, acting on the space. It was obtained the analogue of the Baer's theorem for the Lie algebra. It was also proved the modular analogs of the theorems of Schur and Baer. All results are new and meet the highest international standards in the subject. Scientific results introduce in the tutorial process. Scope: science and education. Product Description popup.authors Величко Тетяна Володимирівна Гринь Катерина Олексіївна Калашнікова Наталія Вікторівна Пипка Олександр Олександрович Тушев Анатолій володимирович Чупордя Василь Анатолійович popup.nrat_date 2020-04-02 Close