Nesse trabalho determinamos grupos de bordismo normal de um espaço X com coeficientes num fibrado virtual orientável φ, Ω_im(N) que nos possibilita determiná-los a menos de extensão de grupos, quando N é uma π -variedade e 3m < 2n +1. Apresentamos alguns resultados sobre o núcleo e a imagem do homomorfismo de "esquecimento" definido nessa sequência exata. Estabelecemos também um relacionamento entre homotopia regular e bordismo normal.

In this thesis wc determine normal bordism groups of a space X with coefficients in an orientable virtual bundle φ, Ω_i (X; φ), for i ≤ 3, in terms of homology groups of X modulo a convenient Serre class of abelian groups. We also introduce a normal bordism group which can be seen as a group of maps homotopic to an immersion of m-dimensional closed manifolds into a fixed connected manifold N of dimension n, with m < n. There is an exact sequence involving these groups J_m(N) which allows us to determine them up to a group extension, if we consider N a π -manifold and 3m < 2n + 1. We present some results about the kemel and the image of the forgetfull homomorphism defined in this exact sequence. We also establish a relationship between regular homotopy and normal bordism.