A note on superstable groups

Journal of Symbolic Logic 70 (2):661-663 (2005)
  Copy   BIBTEX

Abstract

It is proved that all groups of finite U-rank that have the descending chain condition on definable subgroups are totally transcendental. A corollary is that any stable group that is definable in an o-minimal structure is totally transcendental of finite Morley rank

Categories

Keywords

Reprint years

DOI

10.2178/jsl/1120224734

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,665

External links

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

Through your library

My notes

Similar books and articles

A Note On Superstable Groups.Jerry Gagelman - 2005 - Journal of Symbolic Logic 70 (2):661-663.
Simple Groups of Morley Rank 5 Are Bad.Adrien Deloro & Joshua Wiscons - 2018 - Journal of Symbolic Logic 83 (3):1217-1228.
The geometry of forking and groups of finite Morley rank.Anand Pillay - 1995 - Journal of Symbolic Logic 60 (4):1251-1259.
Groups of Morley Rank 4.Joshua Wiscons - 2016 - Journal of Symbolic Logic 81 (1):65-79.
Rank 3 bingo.Alexandre Borovik & Adrien Deloro - 2016 - Journal of Symbolic Logic 81 (4):1451-1480.
Generalized fitting subgroup of a group of finite Morley rank.Ali Nesin - 1991 - Journal of Symbolic Logic 56 (4):1391-1399.
Interpreting structures of finite Morley rank in strongly minimal sets.Assaf Hasson - 2007 - Annals of Pure and Applied Logic 145 (1):96-114.
On solvable centerless groups of Morley rank 3.Mark Kelly Davis & Ali Nesin - 1993 - Journal of Symbolic Logic 58 (2):546-556.
Measurable groups of low dimension.Richard Elwes & Mark Ryten - 2008 - Mathematical Logic Quarterly 54 (4):374-386.
Conjugacy of Carter subgroups in groups of finite Morley rank.Olivier Frécon - 2008 - Journal of Mathematical Logic 8 (1):41-92.

Analytics

Added to PP
2010-08-24

Downloads
31 (#714,808)

6 months
10 (#376,108)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references