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References to 'orbit-stabilizer theorem'
1. blocks of permutation groups by rm50
2. centralizer of a k-cycle by rm50
3. conjugacy classes in the symmetric group $S_n$ by rm50
4. orbits of a normal subgroup are equal in size when the full group acts transitively by rm50
5. proof of Cauchy's theorem by yark
6. proof of class equation theorem by gumau
7. proof of counting theorem by n3o
8. subgroups of $S_4$ by rm50
9. Sylow theorems, proof of by Henry