Why is the OST intuitively true? (Specially for the finite groups but also infinite groups) I understand the proof and the steps, but it is not obvious to me like let’s say Intermediate Value theorem.
2026-03-27 00:56:05.1774572965
Why is the Orbit Stabiliser Theorem intuitively true?
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The theorem is one of the many examples for The homomorphism theorem.
Many people see this as intuitive, as it is in many examples.
There are versions of this theorem for groups, rings, vector spaces, sets, etc., much more then just the few given on the Wikipedia page.