Bachelor's, Master's and Doctorate degrees in Mathematics from Universidade Estadual de Campinas (Unicamp). Now a "Professor Adjunto" at Universidade Federal de Minas Gerais (UFMG). Conducts research in Mathematics, with emphasis on group theory and Lie algebras. (Source: Lattes Curriculum)
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Automorphic loops. Let L be a loop and G the multiplication group of loop L, generated by left and right multiplication operators. We denote H(L) = StabG(L)(e), where ex = xe = x. The loop L is called automorph if H(L) is in Aut(L). There are few explicit constructions of automorph loops. The problem of calculating H(L) groupsand Aut(L) are still open.We emphasize that this problem is rel…
The first topic of the project is to study the Sigma theory of wreath products and of the class of groups defined in P. H. Kropholler, A. Martino, arXiv:1407.0302. Some partial results on the Sigma theory of wreath product were already obtained inBartholdi, de Cornulier, Kochloukova, Q. J. Math. 66 (2015), no. 2, 437 - 457.During his master thesis the student studied the paper of Bart…
We will study a Lie algebra version of the group X(G) defined by Prof. Sidki (UnB). For a Lie algebra L (over a field) we will study the existance of an abelian ideal W of X(L) such that the quotient X(L)/ W is a subdirect Lie sum of 3 copies of L. Our goal is to find Lie algebra version of the group theoretic properties of X(G), adapting group theoretic results to the theory of Lie alg…
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
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