$\omega_2(SO(n))=?$, that is, What is the second stiefel whitney class of SO(n)?
2026-03-27 23:28:06.1774654086
What is the second stiefel whitney class of SO(n)?
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$SO(n)$ is a Lie group and so its tangent bundle is trivial. Thus $w_2(TSO(n)) = 0$.