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Vol. 285, No. 1, 2016

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

Adrien Deloro and Éric Jaligot

Vol. 285 (2016), No. 1, 111–184
Abstract

We classify a large class of small groups of finite Morley rank: N-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-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
Authors
Adrien Deloro
UPMC-IMJ
Case 247
4, Place Jussieu
75252 Paris Cedex
France
Éric Jaligot
Deceased July 2013.