In this paper we use the fact that the rings of integer matrices have the power-substitution property in order to obtain a power-cancellation property for homotopy types of CW-complexes with one cell in dimensions 0 and 4n and a finite number of cells in dimension 2n.
@article{urn:eudml:doc:41747, title = {Power-cancellation of CW-complexes with few cells.}, journal = {Publicacions Matem\`atiques}, volume = {36}, year = {1992}, pages = {715-724}, mrnumber = {MR1209835}, zbl = {0785.55005}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41747} }
Llerena, Irene. Power-cancellation of CW-complexes with few cells.. Publicacions Matemàtiques, Tome 36 (1992) pp. 715-724. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41747/