No particular reductions, though there are a few railcards for certain groups (e.g. <25s, retired) that generally offer a 33% discount. The best way to save money on trains is just to know your way around the labyrinthine system. For example, if you're going to Birmingham, don't catch the crazily expensive Virgin service from Euston; take the London Midland semi-fast, or the Chiltern line from Marylebone.