Involutive automorphisms of $N_\circ^\circ$-groups of finite Morley rank

Adrien Deloro and Éric Jaligot

Vol. 285 (2016), No. 1, 111–184

DOI: 10.2140/pjm.2016.285.111

Abstract

We classify a large class of small groups of finite Morley rank: $N_{\circ }^{\circ }$-groups which are the infinite analogues of Thompson’s $N$-groups. More precisely, we constrain the $2$-structure of groups of finite Morley rank containing a definable, normal, nonsoluble, $N_{\circ }^{\circ }$-subgroup.

Keywords

groups of finite Morley rank, Cherlin–Zilber conjecture, $N$-groups

Mathematical Subject Classification 2010

Primary: 20F11

Milestones

Received: 20 April 2015

Accepted: 23 February 2016

Published: 27 September 2016