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

Ayşe Berkman; Alexandre V. Borovik; Jeffrey Burdges; Gregory Cherlin

doi:10.1016/j.jalgebra.2007.10.012

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

Ayşe Berkman, Alexandre V. Borovik, Jeffrey Burdges, Gregory Cherlin

Research output: Contribution to journal › Article › peer-review

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. © 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	50-76
Number of pages	26
Journal	Journal of Algebra
Volume	319
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2007.10.012
Publication status	Published - 1 Jan 2008

Keywords

Algebraic group
Group of finite Morley rank

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10.1016/j.jalgebra.2007.10.012

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title = "A Generic Identification Theorem for L*-groups of finite Morley rank",

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. {\textcopyright} 2007 Elsevier Inc. All rights reserved.",

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year = "2008",

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AU - Cherlin, Gregory

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N2 - 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. © 2007 Elsevier Inc. All rights reserved.

AB - 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. © 2007 Elsevier Inc. All rights reserved.

KW - Algebraic group

KW - Group of finite Morley rank

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DO - 10.1016/j.jalgebra.2007.10.012

M3 - Article

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VL - 319

SP - 50

EP - 76

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

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

Abstract

Keywords

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