A generic identification theorem for L*-groups of finite Morley rank

Download

index.pdf

Date

2008-01-01

Author

Berkman, Ayse
Borovik, Alexandre V.
Burdges, Jeffrey
Cherfin, Gregory

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

267
views

101
downloads

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.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/67853

Journal

JOURNAL OF ALGEBRA

DOI

https://doi.org/10.1016/j.jalgebra.2007.10.012

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

The classical involution theorem for groups of finite Morley rank Berkman, A (Elsevier BV, 2001-09-15) This paper gives a partial answer to the Cherlin-Zil'ber Conjecture, which states that every infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. The classification of the generic case of tame groups of odd type follows from the main result of this work, which is an analogue of Aschbacher's Classical Involution Theorem for finite simple groups. (C) 2001 Academic Press.
An identification theorem for groups of finite Morley rank and even type Berkman, A; Borovik, AV (Elsevier BV, 2003-08-15) The paper contains a construction of a definable BN-pair in a simple group of finite Morley rank and even type with a sufficiently good system of 2-local parabolic subgroups. This provides 'the final identification theorem' for simple groups of finite Morley rank and even type.
On maximal curves and linearized permutation polynomials over finite fields Özbudak, Ferruh (Elsevier BV, 2001-08-08) The purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials. We also study linearized permutation polynomials under finite field extensions.
Value sets of Lattes maps over finite fields Küçüksakallı, Ömer (Elsevier BV, 2014-10-01) We give an alternative computation of the value sets of Dickson polynomials over finite fields by using a singular cubic curve. Our method is not only simpler but also it can be generalized to the non-singular elliptic case. We determine the value sets of Lattes maps over finite fields which are rational functions induced by isogenies of elliptic curves with complex multiplication.
Regularities in noncommutative Banach algebras Dosiev, Anar (Springer Science and Business Media LLC, 2008-07-01) In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and prove that there is a correspondence between them similar to the commutative case. This correspondence involves a radical on a class of Banach algebras equipped with a subspectrum. Taylor and Slodkowski spectra for noncommutative tuples of bounded linear operators are the main examples of subspectra in the noncommutative case.

Citation Formats

A. Berkman, A. V. Borovik, J. Burdges, and G. Cherfin, “A generic identification theorem for L*-groups of finite Morley rank,” JOURNAL OF ALGEBRA, pp. 50–76, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67853.