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| Author(s): |
Esteban de Jesus Garcia Hernandez
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2024-03-04 |
| Examining board members: |
Dessislava Hristova Kochloukova;
Artem Lopatin;
Victor Mikhaylovich Petrogradsky;
Marcelo Muniz Silva Alves;
Mikhailo Dokuchaev
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| Advisor: | Dessislava Hristova Kochloukova |
| Abstract | |
We present a generalization of a characterisation given by Kochloukova and Leon the finitely presented metabelian restricted Lie algebras over perfect fields k. More specifically, the result generalizes their work by dropping the assumptions that the field k is perfect and the extension is split. Moreover, we give a classification of split extension metabelian restricted Lie algebras of homological type FPm . Furthermore, we study basic concepts about groups and show some known results about the constructions X(G), ?(G) e G ? G (non-abelian tensor product) for a given group G, exhibiting, consequently, a new set of examples of residually finite groups, which are the non-abelian tensor squares of a known group (AU) | |
| FAPESP's process: | 19/21927-1 - Homological and combinatorial methods in the theory of Lie Algebras and groups |
| Grantee: | Esteban de Jesús García Hernández |
| Support Opportunities: | Scholarships in Brazil - Doctorate |