UGC NET CSE | June 2012 | Part 3 | Question: 67

Question

Let a*H and b*H be two cosets of H.

1. Either a*H and b*H are disjoint
2. a*H and b*H are identical

Then,

• A. Only I is true
• B. Only II is true
• C. I or II is true
• D. I and II is false

Answer 1

Ans: C

ref: http://www.emathzone.com/tutorials/group-theory/properties-of-cosets.html

      https://math.stackexchange.com/questions/267143/prove-that-any-two-left-cosets-ah-bh-either-coincide-or-are-disjoint-and-pro