Dummit+and+foote+solutions+chapter+4+overleaf+full -
Use the Orbit-Stabilizer Theorem: $|G| = |\mathcalO(x)| \cdot |\operatornameStab_G(x)|$. Show the stabilizer explicitly as a subgroup. In Overleaf, format with \operatornameStab_G(x) or G_x . 3. Conjugacy Classes and the Class Equation Example pattern: "Find the conjugacy classes of $S_4$ and verify the class equation."
Happy typesetting, and may your orbits be transitive and your Sylow subgroups conjugate. dummit+and+foote+solutions+chapter+4+overleaf+full
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