English

A note on pseudofinite groups of finite centraliser dimension

Logic 2021-06-11 v1 Group Theory

Abstract

We give a structural theorem for pseudofinite groups of finite centraliser dimension. As a corollary, we observe that there is no finitely generated pseudofinite group of finite centraliser dimension.

Keywords

Cite

@article{arxiv.2106.05698,
  title  = {A note on pseudofinite groups of finite centraliser dimension},
  author = {Ulla Karhumäki},
  journal= {arXiv preprint arXiv:2106.05698},
  year   = {2021}
}
R2 v1 2026-06-24T03:03:18.155Z