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Codigos sobre grafos que são quocientes de reticulados
([s.n.], 2004)
Ações de grupos sobre polinômios irredutíveis
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2019-03-15)
Let n be a positive integer and let F_{q^n} be the finite field with q^n elements, where q is a prime power. The aim of this work is to study a natural action of the Projective Semilinear Group PΓL(2,q^n) = PGL(2,q^n)xGa ...
Generalização dos Teoremas de Chevalley-Warning e Ax-Katz
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2021-04-30)
In this dissertation, we will present some generalizations of the Ax-Katz and Chevalley-
Warning Theorems. Their goal is to nd the greatest power of the prime p that divides
the number of solutions of a polynomial system ...
Influência da geometria do corpo do implante na distribuição das tensões: estudo pelo método dos elementos finitos tridimensionais
(Universidade Estadual Paulista (Unesp), 2014-09-17)
The literature is scarce on biomechanical studies on the influence of different implant shape geometry on the stress distribution to the supporting bone. Thus, aim of this study was analyze by FEM-3D, the influence of the ...
Elementos de ordem alta em Corpos Finitos
(Universidade Federal de Minas GeraisUFMG, 2016-03-10)
In the present text, we discuss the problem of finding high order elements in nite fields. More precisely, we present this problem in two classes of extensions of finite fields: the cyclotomic extensions (...) and the ...
Fatoração explícita de polinômios de Dickson sobre corpos finitos
(Universidade Federal de Minas GeraisUFMG, 2018-02-23)
The objective of this work is to study the factorization in irreducible factors of (...) over (...), where q denotes the power of a prime p, (...) is a finite field with q elements and (...) is a Dickson polynomial of the ...