Tame group

Tame group

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".

References

* A. V. Borovik, Tame groups of of odd and even type, pp. 341–-366, in Algebraic Groups and their Representations, R. W. Carter and J. Saxl, eds. (NATO ASI Series C: Mathematical and Physical Sciences, vol. 517), Kluwer Academic Publishers, Dordrecht, 1998.


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