Order of the canonical vector bundle on $C_{n}(K)/\Sigma_{k}$
Yang, Su-Win
Illinois J. Math., Tome 25 (1981) no. 4, p. 136-146 / Harvested from Project Euclid
It has been proved that the order of the naturally defined vector bundle on $C_{n}(K)/\Sigma_{k}$, the configuration space of $k$ distinct points in $R^{n}$, is helpful in finding some new elements of maps between spheres. Now, with the help of representation ring, we give some partial results concerning the largest powers of prime numbers dividing the orders.
Publié le : 1981-03-15
Classification:  55P35,  55N15
@article{1256047373,
     author = {Yang, Su-Win},
     title = {Order of the canonical vector bundle on $C\_{n}(K)/\Sigma\_{k}$},
     journal = {Illinois J. Math.},
     volume = {25},
     number = {4},
     year = {1981},
     pages = { 136-146},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256047373}
}
Yang, Su-Win. Order of the canonical vector bundle on $C_{n}(K)/\Sigma_{k}$. Illinois J. Math., Tome 25 (1981) no. 4, pp.  136-146. http://gdmltest.u-ga.fr/item/1256047373/