Hey everybody! I was wondering if anybody had available the calculation of the Oriented cobordism groups in dimensions higher than 10? Or if anybody knew if there is another kind of torsion beside 2torsion in them? (e.g. I know that $\Omega^5$ is $\mathbb{Z}_2$, is there a group with ntorsion with n distinct from 2?). Thanx, Refferences are also appreciated....
There is no torsion other than 2primary torsion in the oriented bordism ring. One has that after inverting 2, the oriented bordism ring is a polynomial algebra on generators in degrees which are multiples of 4: $$ \Omega^{SO}_*[1/2] = \mathbb{Z}[1/2, x_4, x_8, x_{12}, \ldots] $$ If I remember correctly, this (and the answers to many bordismrelated questions) can be found in Stong's "Notes on cobordism theory". 


I would also recommend Wall's Determination of the cobordism ring as a more primary source, it also contains the fact that all torsion is of order 2. 

