Actions of groups of finite Morley rank on small abelian groups

Bulletin of Symbolic Logic 15 (1):70-90 (2009)
  Copy   BIBTEX

Abstract

We classify actions of groups of finite Morley rank on abelian groups of Morley rank 2: there are essentially two, namely the natural actions of SL(V) and GL(V) with V a vector space of dimension 2. We also prove an identification theorem for the natural module of SL₂ in the finite Morley rank category

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 102,074

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Rank 3 bingo.Alexandre Borovik & Adrien Deloro - 2016 - Journal of Symbolic Logic 81 (4):1451-1480.
On solvable centerless groups of Morley rank 3.Mark Kelly Davis & Ali Nesin - 1993 - Journal of Symbolic Logic 58 (2):546-556.
Groups of Morley Rank 4.Joshua Wiscons - 2016 - Journal of Symbolic Logic 81 (1):65-79.
A generation theorem for groups of finite Morley rank.Jeffrey Burdges & Gregory Cherlin - 2008 - Journal of Mathematical Logic 8 (2):163-195.
Simple Groups of Morley Rank 5 Are Bad.Adrien Deloro & Joshua Wiscons - 2018 - Journal of Symbolic Logic 83 (3):1217-1228.
Conjugacy of Carter subgroups in groups of finite Morley rank.Olivier Frécon - 2008 - Journal of Mathematical Logic 8 (1):41-92.
The Structure of an SL2-module of finite Morley rank.Jules Tindzogho Ntsiri - 2017 - Mathematical Logic Quarterly 63 (5):364-375.
Fusion of 2-elements in groups of finite Morley rank.Luis-Jaime Corredor - 2001 - Journal of Symbolic Logic 66 (2):722-730.

Analytics

Added to PP
2010-09-13

Downloads
40 (#572,768)

6 months
12 (#321,633)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Simple Groups of Morley Rank 5 Are Bad.Adrien Deloro & Joshua Wiscons - 2018 - Journal of Symbolic Logic 83 (3):1217-1228.
The Structure of an SL2-module of finite Morley rank.Jules Tindzogho Ntsiri - 2017 - Mathematical Logic Quarterly 63 (5):364-375.
Rank 3 bingo.Alexandre Borovik & Adrien Deloro - 2016 - Journal of Symbolic Logic 81 (4):1451-1480.

Add more citations

References found in this work

Semisimple torsion in groups of finite Morley rank.Jeffrey Burdges & Gregory Cherlin - 2009 - Journal of Mathematical Logic 9 (2):183-200.

Add more references