A generation theorem for groups of finite Morley rank

Journal of Mathematical Logic 8 (2):163-195 (2008)
  Copy   BIBTEX

Abstract

We deal with two forms of the "uniqueness cases" in the classification of large simple K*-groups of finite Morley rank of odd type, where large means the 2-rank m2 is at least three. This substantially extends results known for even larger groups having Prüfer 2-rank at least three, so as to cover the two groups PSp 4 and G 2. With an eye towards more distant developments, we carry out this analysis for L*-groups, a context which is substantially broader than the K* setting.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,774

External links

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

Through your library

Analytics

Added to PP
2010-08-30

Downloads
58 (#94,165)

6 months
12 (#1,086,452)

Historical graph of downloads
How can I increase my downloads?

Citations of 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 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.
Tores et p-groupes.Aleksandr Vasilievich Borovik & Bruno Petrovich Poizat - 1990 - Journal of Symbolic Logic 55 (2):478-491.
On central extensions of algebraic groups.Tuna Altinel & Gregory Cherlin - 1999 - Journal of Symbolic Logic 64 (1):68-74.
On central extensions of algebraic groups.Tuna Altinel & Gregory Cherlin - 1999 - Journal of Symbolic Logic 64 (1):68-74.

Add more references