Gravity on Finite Groups

Gravity theories are constructed on finite groups G. A self-consistent review of the differential calculi on finite G is given, with some new developments. The example of a bicovariant differential calculus on the nonabelian finite group S_3 is treated in detail, and used to build a gravity-like field theory on S_3.Comment: LaTeX, 26 pages, 1 figure. Corrected misprints and formula giving exterior product of n 1-forms. Added note on topological actio

Differential calculi on finite groups

A brief review of bicovariant differential calculi on finite groups is given, with some new developments on diffeomorphisms and integration. We illustrate the general theory with the example of the nonabelian finite group S_3.Comment: LaTeX, 16 pages, 1 figur