2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185761In this paper, we examine the relationship between a CW-basis for a free simplicial group and methods of freely generating the corresponding crossed complex. Attention is concentrated on the case of resolutions, thus comparing free simplicial resolutions with crossed resolutions of a group.31 pagesK-Theory and HomologyAlgebraic Topology18D35, 18G30, 18G50, 18G55, 20F05, 57M05text