1.3 Elementary Properties of Groups If group GGG is abelian, prove that (ab)n=anbn(ab)^n=a^nb^n(ab)n=anbn, where nnn is any ...

Properties Property Meaning Closure 封闭性 ∀a,b∈G,a∗b∈G\forall a,b\in G, a\ast b\in G∀a,b∈G,a∗b∈G Identity 单位元 ∃e∈G,...