  We study a class of extensions of the k-contracted Poincar\'e algebra under
the hipotesis of generalizing the Bargmann algebra and his central charge. As
we will see this type of contractions will lead in a natural way to consider
the codajoint Poincar\'e algebra and some of their contractions. Among them
there is one such that. considering the quotient of it by a suitable ideal, the
(stringy) p-brane Galilei algebra is recovered.
