Simple groups of Morley rank 5 are bad

Adrien Deloro; Joshua Wiscons

doi:10.1017/jsl.2017.86

Back

Journal article

Open access

Peer reviewed

Simple groups of Morley rank 5 are bad

Adrien Deloro and Joshua Wiscons

The Journal of symbolic logic, Vol.83(3), pp.1217-1228

09/2018

DOI: https://doi.org/10.1017/jsl.2017.86

Handle:

https://hdl.handle.net/20.500.12741/rep:4544

Abstract

Group Theory

Logic

Mathematics

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.

Files and links (1)

url

https://doi.org/10.1017/jsl.2017.86View

Published (Version of record) Open

Metrics

2 Record Views

Details

Title: Simple groups of Morley rank 5 are bad
Creators: Adrien Deloro - Institut de Mathématiques de Jussieu - Paris Rive Gauche
Joshua Wiscons - California State University [Sacramento]
Academic Unit: Mathematics/Statistics Department
Publisher: Association for Symbolic Logic
Publication Details: 09/2018
Identifiers: 99257847090301671; https://hdl.handle.net/20.500.12741/rep:4544; https://doi.org/10.1017/jsl.2017.86
Language: English