Open Access- https://doi.org/10.1515/crelle-2024-0055
First-order sentences in random groups I: Universal sentences
- Aug 15, 2024
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Olga Kharlampovich +1 more
Abstract
Abstract We prove that a random group, in Gromov’s density model with d < 1 / 16 d<1/16 , satisfies a universal sentence 𝜎 (in the language of groups) if and only if 𝜎 is true in a non-abelian free group.
- # Non-abelian Free Group
- # Universal Sentences
- # Universal Sentence
- # First-order Sentences
- # Density Model
- # Non-abelian Group
- # Free Group
