Let G be a group. Prove that 𝑁=⟨𝑥−1𝑦−1𝑥𝑦|𝑥,𝑦∈𝐺⟩N=⟨x−1y−1xy|x,y∈G⟩ is a normal subgroup of G and 𝐺/𝑁G/N is abelian So ...
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