Simple <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-groups of even type with weakly embedded subgroups

We generalize several properties of linear algebraic groups to the case of the linear groups which are defined in a field of finite Morley rank. We show three structure theorems and the conjugacy of the borels, of the Carter subgroups, of the maximal tori. In conclusion we generalize the results to fields of Morley rank ω.n without subgroups of finite rank. In contrary to the case of finite Morley rank there are known examples of such fields with definable non-algebraic subgroups of GL n (K).

show abstract

Limoncello

Altınel

Cherlin

2005

Journal of Algebra

Self Cite

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Simple L∗-groups of even type with weakly embedded subgroups

Cited by 7 publications

References 16 publications

Involutions in groups of finite Morley rank of degenerate type

Involutions in groups of finite Morley rank of degenerate type

Structure des groupes linéaires définissables dans un corps de rang de Morley fini

Limoncello

Contact Info

Product

Resources

About