English

Model theory of finite and pseudofinite groups

Logic 2016-07-25 v1

Abstract

This is a survey, intended both for group theorists and model theorists, concerning the structure of pseudofinite groups, that is, infinite models of the first order theory of finite groups. The focus is on concepts from stability theory and generalisations in the context of pseudofinite groups, and on the information this might provide for finite group theory.

Keywords

Cite

@article{arxiv.1607.06714,
  title  = {Model theory of finite and pseudofinite groups},
  author = {Dugald Macpherson},
  journal= {arXiv preprint arXiv:1607.06714},
  year   = {2016}
}

Comments

27 pages