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> Do we know, or are there any References that list down complete oriented and unoriented Bordism Group $Ω\_{n,O}(pt)$ and $Ω\_{n,SO}(pt)$ of points $pt$ for dimensions $n=1,2,...,10$?
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Here are some informations I know. And a useful Ref is [here](http://www.maths.ed.ac.uk/~aar/papers/cobord.pdf).


$$Ω\_{1,O}(pt) =0,$$
$$Ω\_{2,O}(pt) =\mathbb{Z}/2\mathbb{Z},$$
$$Ω\_{3,O}(pt) = 0,$$ 
$$Ω\_{4,O}(pt) =\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z},$$
$$Ω\_{5,O}(pt) =\mathbb{Z}/2\mathbb{Z},$$
$$Ω\_{6,O}(pt) =?,$$
$$Ω\_{7,O}(pt) =?,$$
$$Ω\_{8,O}(pt) =?,$$
$$Ω\_{9,O}(pt) =?,$$
$$Ω\_{10,O}(pt) =?,$$




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$$Ω\_{1,SO}(pt) =?,$$
$$Ω\_{2,SO}(pt) =?,$$
$$Ω\_{3,SO}(pt) = ?,$$ 
$$Ω\_{4,SO}(pt) =?,$$
$$Ω\_{5,SO}(pt) =\mathbb{Z}/2\mathbb{Z}?$$
$$Ω\_{6,SO}(pt) =?,$$
$$Ω\_{7,SO}(pt) =?,$$
$$Ω\_{8,SO}(pt) =?,$$
$$Ω\_{9,SO}(pt) =?,$$
$$Ω\_{10,SO}(pt) =?,$$



Oriented Bordism Group and Un-Oriented Bordism Group of points $pt$
Unoriented cobordism: can be read off from the structure of the [unoriented cobordism ring](http://www.map.mpim-bonn.mpg.de/Unoriented_bordism#Construction_and_examples) (calculated in Thom's thesis): $\Omega\_6^O = (\mathbb Z/2)^3$, $\Omega\_7^O = \mathbb Z/2$, $\Omega\_8^O = (\mathbb Z/2)^5$, $\Omega\_9^O = (\mathbb Z/2)^3$, and $\Omega\_{10}^O = (\mathbb Z/2)^8$.


Oriented cobordism: in Milnor and Stasheff, *Characteristic Classes*, end of §17, p. 203. $\Omega\_1^{SO} = 0$, $\Omega\_2^{SO} = 0$, $\Omega\_3^{SO} = 0$, $\Omega\_4^{SO} = \mathbb Z$, $\Omega\_5^{SO} = \mathbb Z/2$, $\Omega\_6^{SO} = \Omega\_7^{SO} = 0$, $\Omega\_8^{SO} = \mathbb Z^2$, $\Omega\_9^{SO} = (\mathbb Z/2)^2$, and $\Omega\_{10}^{SO} = \mathbb Z/2$.


