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arxiv: 1610.03150 · v2 · pith:ODUB6XV3new · submitted 2016-10-11 · 🧮 math.LO

Stabilizers, groups with f-generics in NTP2 and PRC fields

classification 🧮 math.LO
keywords groupsfieldsntp2alternativeamenablebasicboundeddefinable
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In this paper we develop three different subjects. We study and prove alternative versions of Hrushovski's "Stabilizer Theorem", we generalize part of the basic theory of definably amenable NIP groups to NTP2 theories, and finally, we use all this machinery to study groups with f-generic types definable in bounded PRC fields.

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