This involves the Wiseman Hypothesis or Tablet Theory.
Documentary hypothesis - CreationWiki, the encyclopedia of creation science
Essentially the entire book of Genesis is divided through use of the word 'toledoth' meaning family genealogy, and often translated by the KJV as 'generation'. It separates the entire book of Genesis into the following accounts:
God's account of Creation (Genesis 1:1-2:4)
Adam's genealogy/personal history (2:4-5:1)
Noah's genealogy/personal history (5:1-6:9)
Shem/Ham/Japheth's (6:9-10:1)
Shem's specifically (10:1-11:10)
Terah's (11:10-11:27)
Isaac's (11:27-25:19)
Ishmael's (25:12-18)
Jacob's (25:19-37:2)
Esau's (36:1-36:43)
Jacob's 12 sons (37:2-Exodus 1:6)
The Tablet Theory hypothesizes that after the style of Mesopotamian Family Tablets, there were originally family tablets which were combined into a single account by Moses. Thus the word toledoth separates these accounts. Often each account consists of 2 sections, a narrative of major events in the family's history, and a genealogical section mention who descended from whom.
Thus, Genesis 1 dealt with the entire Creation, perhaps God's account, whereas Genesis 2 involved Adam's genealogy specifically.