English

Groups of Morley rank 4

Logic 2014-11-26 v3 Group Theory

Abstract

We show that any simple group of Morley rank 4 must be a bad group with no proper definable subgroups of rank larger than 1. We also give an application to groups acting on sets of Morley rank 2.

Cite

@article{arxiv.1401.2373,
  title  = {Groups of Morley rank 4},
  author = {Joshua Wiscons},
  journal= {arXiv preprint arXiv:1401.2373},
  year   = {2014}
}

Comments

v3: improvement to the efficiency and clarity of section 4 and other minor changes

R2 v1 2026-06-22T02:42:57.956Z