If you're really focused on game development then a course specific to that may be right up you street. There are a lot of skills you'll learn that are specific to games development that you'll be unlikely to learn anywhere else: directx, opengl, etc. You'll also gain an understanding that there can be a lot of people involved: story writers; level designers, programmers, testers, etc. and possibly be given the chance to focus on a specific area that interests you.
However it may be worth considering a more general computer science route. Although you'll miss out on the specific skills of game development, you'll arguably get a better grounding in core development and gain more general skills that you can apply to a wider range of problems.
Only you can decide what you want to study. Studying either course will not limit you to working in or out of a specific industry, but it may make it more difficult to change course.
With that piece of advice out of the way, onto answering your specific question:
There is a broad opinion that the University of Abertay is one of the foremost institutions for studying game development in the UK. Abertay had the foresight to build and develop a top level course specializing in game development before others and it's continued to build on it.
Dundee (where the university is based) has a thriving game development industry that has sprung up partly because of the courses. Games like GTA4 (amongst many others) were developed in the area. That should give you an indication of the community that's built up.