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Q10

MCQ1 mark, −0.33

Let GG be an arbitrary group. Consider the following relations on GG: R1:∀a,b∈G, aR1b if and only if ∃g∈G such that a=g−1bgR_1: \forall a , b \in G, \: a R_1 b \text{ if and only if } \exists g \in G \text{ such that } a = g^{-1}bg R2:∀a,b∈G, aR2b if and only if a=b−1R_2: \forall a , b \in G, \: a R_2 b \text{ if and only if } a= b^{-1} Which of the above is/are equivalence relation/relations?

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