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I have known the data of $\\pi_m(so(n))$ from this table I thought i would find this with an easy google search What is the fundamental group of the special orthogonal group $so (n)$, $n>2$
The answer usually given is
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A lot of answers/posts stated that the statement does matter) what i mean is
It is clear that (in case he has a son) his son is born on some day of the week. U(n) and so(n) are quite important groups in physics
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