The document summarizes common vi editor commands in 3 categories:
1) Modes - vi has command, insert, and last-line modes which allow navigating/editing, typing, and issuing complex commands respectively.
2) Navigation - Commands like Up, Down, Left, Right to move around files as well as line numbers and search functions.
3) Editing - Cut/copy/paste, deleting text, saving files, and searching/replacing text using commands like d, y, p, w, /, :wq and more.