A Generic Identification Theorem for L∗-groups of finite Morley rank

doi:10.1016/j.jalgebra.2007.10.012

Journal of Algebra

Volume 319, Issue 1, 1 January 2008, Pages 50-76

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Abstract

This paper provides a method for identifying “sufficiently rich” simple groups of finite Morley rank with simple algebraic groups over algebraically closed fields. Special attention is given to the even type case, and the paper contains a number of structural results about simple groups of finite Morley rank and even type.

Keywords

Group of finite Morley rank

Algebraic group

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^☆: This paper came about as a result of discussions during the second author's visit to METU, Ankara in 2004, and during the program on Model Theory at the Newton Institute, Cambridge in 2005. The first two authors thank TÜBİTAK and Newton Institute for financial support.

^☆☆: The last two authors acknowledge the hospitality of Université Lyon I, and the financial support of the Newton Institute Model Theory Program and NSF Grant DMS-0100794.

Journal of Algebra

A Generic Identification Theorem for L∗-groups of finite Morley rank☆,☆☆

Abstract

Keywords

A Generic Identification Theorem for $L^{*}$ -groups of finite Morley rank☆,☆☆