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Subgroup in Group Theory | Examples The set Gl2(R) of non-singular matrices is group under multiplication If G is abelian then (ab)^n=a^nb^n, for all a,b in G (Proof by mathematical induction) Show that a group is abelian if and only if (ab)^2=a^2b^2 for all a,b in G If G is a group such that x.x=e for all x∈G then G is an abelian group Show ...
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