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Sep 10, 2010 at 6:50 comment added William DeMeo Thank you. Upon googling Constantini and Zacher I found this page en.wikipedia.org/wiki/Complemented_group which gives the two definitions as well as a bit of the history. Thank you for helping to clear this up.
Sep 10, 2010 at 2:17 comment added John Shareshian Lattice theoretic complements, which you define here, are much more common than group theoretic complements, which you ask about above. For example, a theorem of M. Costantini and G. Zacher says that every subgroup of a finite simple group has a lattice theoretic complement.
Sep 9, 2010 at 21:21 history edited William DeMeo CC BY-SA 2.5
deleted 18 characters in body; deleted 22 characters in body
Sep 9, 2010 at 21:14 history answered William DeMeo CC BY-SA 2.5