SEMISIMPLE TORSION IN GROUPS OF FINITE MORLEY RANK-Reference-Cited by-同舟云学术

SEMISIMPLE TORSION IN GROUPS OF FINITE MORLEY RANK

Published:2009-12 Issue:02 Volume:09 Page:183-200
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

BURDGES JEFFREY¹,CHERLIN GREGORY²

Affiliation:

1. Institut Camille Jordan, Université de Lyon-I, Lyon, France

2. Mathematics Department, Rutgers University, Piscataway, NJ, USA

Abstract

We prove several results about groups of finite Morley rank without unipotent p-torsion: p-torsion always occurs inside tori, Sylow p-subgroups are conjugate, and p is not the minimal prime divisor of our approximation to the "Weyl group". These results are quickly finding extensive applications within the classification project.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061309000860

Reference11 articles.

1. On analogies between algebraic groups and groups of finite Morley rank

2. Simple Groups of Finite Morley Rank

3. Parabolic 2-local subgroups in groups of finite Morley rank of even type

4. A Hall Theorem for ω-Stable Groups

5. Involutions in groups of finite Morley rank of degenerate type

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Around the algebraicity problem in odd type;Model Theory;2024-07-19

2. Small groups of finite Morley rank with a supertight automorphism;Journal of Algebra;2024-06

3. Quasi groupes de Frobenius dimensionnels;Model Theory;2023-06-26

4. The geometry of involutions in ranked groups with a ti ‐subgroup;Bulletin of the London Mathematical Society;2020-04-20

5. Groups of finite Morley rank with a generically sharply multiply transitive action;Journal of Algebra;2018-11