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... b & Sob, where I stands for the identity operator on H(b). Proof According to (24.1), we have S.S., — (X, + S^b & b)S, = X,S, --S"b & Sob = I + Sob & Sob ...
... b G where G is a group we have to prove that 0(a) = 0(b-1ab) a,b ∈ G ⇒ b-1, a,b ∈ G⇒ b - 1ab∈ G Now (b-1ab)2=(b-1ab) (b-1ab)=(b-1a)(bb-1)(ab) =(b-1a)e(ab)=( ...
... (b) 29. (a) 42. (b) 4. (c) 17. (a) 30. (d) 43. (c) 5. (e) 18. (c) 31. (c) 44. (b) 6. (b) 19. (b) 32. (b) 45. (b) 7. (c) 20. (c) 33. (c) 46. (a) 8. (e) 21. ( ...
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