On the nilpotency of rational $\bm{H}$-spaces
KAJI, Shizuo
J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 1153-1165 / Harvested from Project Euclid
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In [BG], it is proved that the Whitehead length of a space $Z$ is less than or equal to the nilpotency of $\Omega Z$ . As for rational spaces, those two invariants are equal. We show this for a 1-connected rational space $Z$ by giving a way to calculate those invariants from a minimal model for $Z$ . This also gives a way to calculate the nilpotency of an homotopy associative rational $H$ -space.
Publié le : 2005-10-14
Classification:  $H$-Spaces,  nilpotency,  rational homotopy theory,  55P45,  55P62 
@article{1150287307,
     author = {KAJI, Shizuo},
     title = {On the nilpotency of rational $\bm{H}$-spaces},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 1153-1165},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150287307}
}

KAJI, Shizuo. On the nilpotency of rational $\bm{H}$-spaces. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  1153-1165. http://gdmltest.u-ga.fr/item/1150287307/