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MCQ (Single Correct Answer)
GATE CSE 2019
Let G be an arbitrary group. Consider the following relations on G:
R1: ∀a, b ∈ G, aR1b if and only if ∃g ∈ G such that a = g−1bg
R2: ∀a, b ∈ G, aR2b if and only if a = b−1
Which of the above is/are equivalence relation/relations?(A) R1 and R2(B) R1 only(C) R2 only(D) Neither R1 nor R2
