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R.J. THOMPSON’S GROUPS F AND T ARE BI-INTERPRETABLE WITH THE RING OF THE INTEGERS

  • CLÉMENT LASSERRE (a1)

Abstract

We show that R.J. Thompson’s groups F and T are bi-interpretable with the ring of the integers. From a result by A. Khélif, these groups are quasi-finitely axiomatizable and prime. So, the group T provides an example of a simple group which is quasi-finitely axiomatizable and prime. This answers questions posed by T. Altınel and A. Muranov in [2], and by A. Nies in [12].

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