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Preprint Number 545
545. Ludomir Newelski Topological dynamics of stable groups Email: Submission date: 15 December 2012. Abstract: Assume G is a group de nable in a model M of a stable theory T. We prove that the semigroup S_G(M) of complete Gtypes over M is an inverse limit of some semigroups typedefinable in M^{eq}. We prove that the maximal subgroups of S_G(M) are inverse limits of some defiquotients of subgroups of G. We consider the powers of types in the semigroup S_G(M) and prove that in a way every type in S_G(M) is profinitely many steps away from a type in a subgroup of S_G(M). Mathematics Subject Classification: Keywords and phrases: Full text: pdf.

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