"An approach to computing the action of Steenrod squares on the cohomology of polyhedral simplicial sets" Rocio Gonzalez-Diaz, Pedro Real Jurado Univ. de Sevilla, Spain. e-mail: real@cica.es Abstract: A combinatorial formulation for Steenrod squares is given in [Gonzalez-Diaz R. and Real P. : ``A combinatorial method for computing Steenrod squares''. To appear in Journal of Pure and Applied Algebra (June, 1999) ] . This computer algebra tool is used here in order to derive several results concerning the action of the Steenrod algebra on the cohomology of polyhedral simplicial sets.