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SIMPLE GROUPS OF MORLEY RANK 5 ARE BAD

Published online by Cambridge University Press:  23 October 2018

ADRIEN DELORO  and
JOSHUA WISCONS
ADRIEN DELORO
Affiliation:
SORBONNE UNIVERSITÉS, UPMC INSTITUT DE MATHÉMATIQUES DE JUSSIEU – PARIS RIVE GAUCHE CASE 247, 4 PLACE JUSSIEU, 75252 PARIS, FRANCEE-mail: adrien.deloro@imj-prg.fr
JOSHUA WISCONS
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS CALIFORNIA STATE UNIVERSITY SACRAMENTO SACRAMENTO, CA 95819, USAE-mail: joshua.wiscons@csus.edu
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Abstract

We show that any simple group of Morley rank 5 is a bad group all of whose proper definable connected subgroups are nilpotent of rank at most 2. The main result is then used to catalog the nonsoluble connected groups of Morley rank 5.

Keywords

Primary 20F11Secondary 03C60finite Morley ranksimple group
Type
Articles
Information
The Journal of Symbolic Logic , Volume 83 , Issue 3 , September 2018 , pp. 1217 - 1228
Copyright
Copyright © The Association for Symbolic Logic 2018 

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