A certain p-th order cup product is detected by a p-th order cohomology operation. The result is applied to finite H-spaces, to show that several properties of compact Lie groups do not hold for arbitrary torsion free finite H-spaces.
@article{urn:eudml:doc:41024, title = {Evaluating a p-th order cohomology operation.}, journal = {Publicacions Matem\`atiques}, volume = {32}, year = {1988}, pages = {61-78}, zbl = {0683.55004}, mrnumber = {MR0939770}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41024} }
Harper, J.; Zabrodsky, A. Evaluating a p-th order cohomology operation.. Publicacions Matemàtiques, Tome 32 (1988) pp. 61-78. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41024/