Let πΊ be an arbitrary group. Consider the following relations on πΊ: π 1:β¦
GATE Β· 2019 Β· CS Β· Computer Science & IT
Let πΊ be an arbitrary group. Consider the following relations on πΊ:
π 1: βπ, π β πΊ, π π 1π if and only if βπ β πΊ such that π = π-1ππ
π 2: βπ, π β πΊ, π π 2π if and only if π = π-1
Which of the above is/are equivalence relation/relations?
- A.
π 1 and π 2
- B.
π 1 only
- C.
π 2 only
- D.
Neither π 1 nor π 2
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