Computer Sciences > Gate 2019 > Relation
Let G be an arbitrary group. Consider the following relations on G:
Which of the above is/are equivalence relation/relations?
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
R2: ∀a, b ∈ G, aR2b if and only if a = b-1
Which of the above is/are equivalence relation/relations?
Correct : b
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