Mekler’s Construction on NTP1 Theory

JinHoo Ahn (안진후)

Department of Mathematics, Yonsei University, Seoul

Department of Mathematics, Yonsei University, Seoul

2018/10/1 Mon 5PM-6PM (E6-1, Room 1401)

Any structure whose language is finite has a model of graph theory which is bi-interpretable with it. From this idea, Mekler further developed a way of interpreting a model into a group. This Mekler’s construction preserves various model-theoretic properties such as stability, simplicity, and NTP2, thus helps us find new group examples in model theory. In this talk, I will introduce to you what Mekler’s construction is and briefly show that this preserves NTP1.