Mekler’s construction and generalized stability

@article{Chernikov2017MeklersCA,
  title={Mekler’s construction and generalized stability},
  author={Artem Chernikov and Nadja Hempel},
  journal={Israel Journal of Mathematics},
  year={2017},
  volume={230},
  pages={745-769}
}
Mekler’s construction gives an interpretation of any structure in a finite relational language in a group (nilpotent of class 2 and exponent p > 2, but not finitely generated in general). Even though this construction is not a bi-interpretation, it is known to preserve some model-theoretic tameness properties of the original structure including stability and simplicity. We demonstrate that k-dependence of the theory is preserved, for all k ∈ N, and that NTP2 is preserved. We apply this result… 
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8 Citations
Background Citations
4
Methods Citations
3

8 Citations

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