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82IVTopologicalGroupsP0iTheinverseofcisccsincecc0FinallyCpisabelianbecauseadditionmodulo2iscommutativeWehaveagroupofpchainsforeachintegerpForp0andpdimKthisgroupistrivialconsistingonlyofth

82IVTopologicalGroupsP0i.Theinverseofcisc=csincec+c=0.Finally Cpisabelianbecauseadditionmodulo2iscommutative.Wehaveagroupofp-chainsforeachintegerp.Forp0andpdimKthisgroupistrivial consistingonlyofth

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