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Post Closed as "Not suitable for this site" by Alex Degtyarev, Joonas Ilmavirta, abx, Stefan Kohl, Derek Holt
edited the question according do comments (the maximal -> a maximal)
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Marco Golla
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Is SO(n) thea maximal subgroup of SO(n+1)?

Is SO(n) the maximal subgroup of SO(n+1)?

Is SO(n) a maximal subgroup of SO(n+1)?

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A question about the maximal subgroup of SO(n+1)?

Is SO(n) the maximal subgroup of SO(n+1)?