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SIMPLE GROUPS OF MORLEY RANK 5 ARE BAD

Published online by Cambridge University Press:  23 October 2018

ADRIEN DELORO
Affiliation:
SORBONNE UNIVERSITÉS, UPMC INSTITUT DE MATHÉMATIQUES DE JUSSIEU – PARIS RIVE GAUCHE CASE 247, 4 PLACE JUSSIEU, 75252 PARIS, FRANCEE-mail: [email protected]
JOSHUA WISCONS
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS CALIFORNIA STATE UNIVERSITY SACRAMENTO SACRAMENTO, CA 95819, USAE-mail: [email protected]

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.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2018 

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