Regularity of finite $H$-spaces
Harper, John R.
Illinois J. Math., Tome 23 (1979) no. 4, p. 330-333 / Harvested from Project Euclid
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Let $X$ be an $H$-space of the homotopy type of a connected finite CW complex. Suppose the generators of the rational cohomology of $X$ all have dimension $\leq m$. Theorem. If $p$ is a prime satisfying $2p-1\geq m$, then $X$ is mod $p$ equivalent to a product of odd dimensional spheres and generalized Lens spaces $L(p,1,\ldots,1)$ obtained as the orbit space of an action of $Z_{\mathrm{p}}$ on $S^{2\mathrm{p}-1}$.
Publié le : 1979-06-15
Classification:  55P45 
@article{1256048244,
     author = {Harper, John R.},
     title = {Regularity of finite $H$-spaces},
     journal = {Illinois J. Math.},
     volume = {23},
     number = {4},
     year = {1979},
     pages = { 330-333},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256048244}
}

Harper, John R. Regularity of finite $H$-spaces. Illinois J. Math., Tome 23 (1979) no. 4, pp.  330-333. http://gdmltest.u-ga.fr/item/1256048244/