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  • 07-03-2024
  • Mathematics
contestada

Assume H is a normal subgroup of G, K is a conjugacy class of G contained in H, and x ∈ K. Prove that K is a union of K conjugacy classes of equal size in H, where K = {g : hgh⁻¹ = x, ∀ h ∈ H}.
A. True
B. False

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