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Sep 29, 2010 at 17:21 comment added Tim Porter @Primov You might be interested in the bibliography: bangor.ac.uk/~mas010/nonabtens.html The general construction is given by Brown and Loday in a paper on their van Kampen Theorem, and the above was a bibliogrpahy of papers that mention, use or sometimes are related to that work. The condition that the group be perfect is needed for the universal central extension but there are results as Primoz states for the general case. The constructions are very neat and pretty, and are worth playing with. :-)
Sep 29, 2010 at 15:33 history answered Primoz CC BY-SA 2.5