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Let F be a non-Archimedean locally compact field of residue characteristic p,let D be a finite dimensional central division F-algebra and let l be a primenumber different from p. We develop a theory of l-modular types for the groupGL(m,D), m\>1, in preparation of the study of the l-modular smoothrepresentations of this group.

Types modulo $\ell$ pour les formes int\'erieures de $GL_n$ sur un corps local non archim\'edien