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Tame group information


In mathematical group theory, a tame group is a certain kind of group defined in model theory.

Formally, we define a bad field as a structure of the form (K, T), where K is an algebraically closed field and T is an infinite, proper, distinguished subgroup of K, such that (K, T) is of finite Morley rank in its full language. A group G is then called a tame group if no bad field is interpretable in G.

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Tame group

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In mathematical group theory, a tame group is a certain kind of group defined in model theory. Formally, we define a bad field as a structure of the form...

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resulting group each of whose completion yields a different group. The first is a very tame group and is isomorphic to the mapping class group of the infinitely...

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algebraic groups over the field with one element. Character variety Borel subgroup Tame group Morley rank Cherlin–Zilber conjecture Adelic algebraic group Pseudo-reductive...

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Tameness theorem

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mathematics, the tameness theorem states that every complete hyperbolic 3-manifold with finitely generated fundamental group is topologically tame, in other...

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rank Stable theory Forking extension Strongly minimal theory Stable group Tame group o-minimal theory Weakly o-minimal structure C-minimal theory Spectrum...

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Ahlfors measure conjecture

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showing that a topologically tame Kleinian group is geometrically tame, so the Ahlfors conjecture follows from Marden's tameness conjecture that hyperbolic...

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