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Jan 7, 2010 at 15:09 comment added Mariano Suárez-Álvarez W. R. Scotts Group Theory does deal with extensions in considerably more detail than most introductory texts.
Jan 7, 2010 at 6:11 comment added S. Carnahan Most homological algebra books (e.g., Weibel or Cartan-Eilenberg) have a bit on central extensions. I think both Lang's Algebra and Dummit-Foote's Abstract Algebra (except the 1st edition) have sections on group cohomology. There are also more specialized texts on cohomology of groups, like Adem's.
Jan 7, 2010 at 4:41 comment added user577 Central extensions sounds pretty good. If you have a specific reference in mind that would be helpful. Most introductory algebra books have very little on extensions.
Jan 7, 2010 at 4:34 history answered S. Carnahan CC BY-SA 2.5