Course syllabus is available here, and the recommended textbook is Algebra 1st Edition by Michael Artin. Homework sets were also based on the first edition of the book.
Lecture 4: Homomorphism Part 2
Notes: during the second half of the lecture, the lecturer talked about a map from G to Aut G. It is a worked exercise of Miscellaneous Problems 2 on page 195 of the textbook. The notation used in the lecture is awkward, since the map takes two arguments. See this wikipedia page for a better notation.