Alexander Berenbeim : Mekler Construction Preserves k-dependence

Posted by Alexander Berenbeim , part of the Louise Hay Logic Seminar.

At

April 18, 2019, 4 p.m.

In

427 SEO

Abstract

The Mekler construction constructs a 2-nilpotent group of exponent p>2 from a nice graph interpreting a structure M satisfying a theory T in a finite relational language. It is known that this group preserves stability properties like NIP and NTP_2. This talk will consist of two parts. The first part will describe this construction, along with relevant definitions, and the second part will show that this construction also preserves k-dependence.