Model Theory and Groups
Logic
2021-09-10 v1
Abstract
This is a largely expository paper about how groups arise or are of interest in model theory. Included are the following topics: classifying groups definable in specific structures or theories and the relation to algebraic groups, groups definable in stable, simple and NIP theories, definable compactifications of groups, definable Galois theory (including differential Galois theory), connections with topological dynamics, model theory of the free group.
Cite
@article{arxiv.2109.03911,
title = {Model Theory and Groups},
author = {Anand Pillay},
journal= {arXiv preprint arXiv:2109.03911},
year = {2021}
}
Comments
This a mainly expository paper, the final version of which appeared as a contribution to the book "Groups and Model Theory, GAGTA Book 2", edited by Kharlampovich and Sklinos, published in 2021 by de Gruyter