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Gravity on Finite Groups

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arxiv gr-qc/9909028 v2 pith:QXOM3DAK submitted 1999-09-07 gr-qc hep-th

Gravity on Finite Groups

classification gr-qc hep-th
keywords finitedifferentialgravitygroupsbicovariantbuildcalculicalculus
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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