Holy Ghost

9) And in that day the Holy Ghost fell upon Adam, which beareth record of the Father and the Son, saying: I am the Only Begotten of the Father from the beginning, henceforth and forever, that as thou hast fallen thou mayest be redeemed, and all mankind, even as many as will.
14) And the Lord God called upon men by the Holy Ghost everywhere and commanded them that they should repent;
58) And thus the Gospel began to be preached, from the beginning, being declared by holy angels sent forth from the presence of God, and by his own voice, and by the gift of the Holy Ghost.
8) Now this prophecy Adam spake, as he was moved upon by the Holy Ghost, and a genealogy was kept of the children of God. And this was the book of the generations of Adam, saying: In the day that God created man, in the likeness of God made he him;
52) And he also said unto him: If thou wilt turn unto me, and hearken unto my voice, and believe, and repent of all thy transgressions, and be baptized, even in water, in the name of mine Only Begotten Son, who is full of grace and truth, which is Jesus Christ, the only name which shall be given under heaven, whereby salvation shall come unto the children of men, ye shall receive the gift of the Holy Ghost, asking all things in his name, and whatsoever ye shall ask, it shall be given you.
66) And he heard a voice out of heaven, saying: Thou art baptized with fire, and with the Holy Ghost. This is the record of the Father, and the Son, from henceforth and forever;
11) And he gave unto me a commandment that I should baptize in the name of the Father, and of the Son, which is full of grace and truth, and of the Holy Ghost, which beareth record of the Father and the Son.
27) And Enoch beheld angels descending out of heaven, bearing testimony of the Father and Son; and the Holy Ghost fell on many, and they were caught up by the powers of heaven into Zion.
The Holy Ghost is part of the godhead in which we believe.
While seeking the brass plates, Nephi is guided by the spirit and commanded to kill Laban.
And the Spirit of God came upon Saul when he heard those tidings, and his anger was kindled greatly.
13) Jesus answered and said unto her, Whosoever drinketh of this water shall thirst again:
14) But whosoever drinketh of the water that I shall give him shall never thirst; but the water that I shall give him shall be in him a well of water springing up into everlasting life.
Sent by the Father in Christ's name.
"comforter"
Sent by Christ from the Father.
"Spirit of Truth"
Shall testify of Christ.
Will show things to come.
Will guide in all truth.
Will glorify Christ.
Would not come (as Gift) until after Christ's Death.
Jesus was to send the Holy Ghost from the Father and he was to testify of Jesus.
Jesus had to leave before the Holy Ghost could be sent.
Simon is blessed because he has received a witness of Christ's divinity from God. (Through the Holy Ghost.)
The Gift of the Holy Ghost is manifest on the Day of Pentecost.
Paul runs into a group of people that have been baptized, but don't know about the Holy Ghost. He takes this as a sign that they were probably not baptized by an authorized servant, so he rebaptized them.
"But I am learned, and know more than all the world put together. The Holy Ghost does, anyhow, and he is within me, and comprehends more than all the world; and I will associate myself with him."

Notes

As cited above in John 16:7, Jesus had to leave before the Holy Ghost could be sent. This is generally understood to be a reference to the Gift of the Holy Ghost, as there is scriptural evidence for the power of the Holy Ghost being in operation during the life of Christ. (See: Matthew 16:17) However, scriptural evidence also indicates that the Gift of the Holy Ghost was operating way back in the days of Adam. (See: Moses 5:58)

So the evidence suggests that the Gift of the Holy Ghost has always been present in the various dispensations, except that it was absent during the life of Christ for some reason. After he left, the gift of the Holy Ghost returned, as evidenced on the Day of Pentecost (See: https://www.lds.org/scriptures/nt/acts/2?lang=eng#0) and on future occasions as the power of the Holy Ghost was especially manifest following baptism and confirmation.

This begs the question, why was the Holy Ghost absent during Christ's life?

Some thoughts that cross my mind:

Whatever the true reasons for this absence, it might serve to illustrate the distinction between the power of the Holy Ghost and the Gift of the Holy Ghost, by the dramatic difference in the Holy Ghost's manifestations after the Day of Pentecost.

Further question: Was the gift of the Holy Ghost only absent in the old world, or was it absent also in the New World. (A review of 3rd Nephi should be suggestive.)

Cross-References