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has prim itiv e torsion elements of any orderis really its ke y propert y for the purpose s of this note. Interestingly, it isnot the first known example of a finitely presented graded Z algebrasatisfyin g this condition. In [5 , en d o f §3] a Hopf algebra denoted C isbuilt which also has primitive torsion elements of any prime order.Presumably it woul d not be to o hard to verif y that

A loop space whose homology has torsion of all orders