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This exposition examines the theory of orthogonal groups and their subgroupsover fields of positive characteristic, which has recently been used as animportant tool in the study of automorphic forms and Langlands functionality.We present the classification of orthogonal groups over a finite field usingthe theory of bilinear forms and quadratic forms in positive characteristic.Using the determinant and spinor norm when the characteristic of $F$ is odd andusing the Dickson invariant when the characteristic of $F$ is even, we alsolook at special subgroups of the orthogonal group. -- --  Esta exposici\'{o}n examina la teor\'{i}a de los grupos ortogonales y sussubgrupos sobre cuerpos de caracter\'{i}stica positiva, que recientemente sehan utilizado como una herramienta importante en el estudio de las formasautom\'{o}rficas y la funcionalidad de Langlands. Presentamos laclasificaci\'{o}n de grupos ortogonales sobre un cuerpo finito $F$ utilizandola teor\'{i}a de formas bilineales y formas cuadr\'{a}ticas encaracter\'{i}stica positiva. Usando el determinante y la norma del espinorcuando la caracter\'{i}stica de $F$ es impar y usando la invariante de Dicksoncuando la caracter\'{i}stica de $F$ es par, tambi\'{e}n encontramos subgruposespeciales del grupo ortogonal.

Grupos ortogonales sobre cuerpos de caracter\'{i}stica positiva