Moving music in Library

Open iTunes and right click one of the songs in you music library (or "Edit" from the menu bar) and then "Song Info". In the dialog box that opens (about halfway down) you will see a compilation checkbox. Uncheck that box and then you can play with the sorting tab in the same dialog box if you need to. (I'm doing this from my Mac, but I believe it is basically the same on a PC.)

This is a pretty old article, but you may want to see the "Missing Artist or Album not with others by same artist" section in:

http://samsoft.org.uk/iTunes/grouping.asp

I'm not sure WHY you want to doc this. You can sort the music in your iTunes Library by either Artist or Album. If the album is part of a compilation and you want to break it up, see:

Change CD information in iTunes on PC - Apple Support

Change song and CD information in iTunes on PC - Apple Support

Although the titles of the articles I cited say CDs, they apply to your music library in general. (They were the closest I could find as to what I thought might help you.). See one of the articles for how to set/unset the compilation flag.