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portada Simple Groups of Finite Morley Rank
Type
Physical Book
Publisher
Author
Collection
Mathematical Surveys and Monographs
Year
2008
Language
English
Format
Hardcover
ISBN13
9780821843055

Simple Groups of Finite Morley Rank

Tuna Altınel;Alexandre V. Borovik;Gregory Cherlin (Author) · American Mathematical Society · Hardcover

Simple Groups of Finite Morley Rank - Tuna Altınel;Alexandre V. Borovik;Gregory Cherlin

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Synopsis "Simple Groups of Finite Morley Rank"

Offers a presentation of the classification of the simple groups of finite Morley rank which contain a nontrivial unipotent 2-subgroup. This book provides food for thought to finite group theorists, model theorists, and algebraic geometers who are interested in group theoretic problems.

The book gives a detailed presentation of the classification of the simple groups of finite Morley rank which contain a nontrivial unipotent 2-subgroup. They are linear algebraic groups over algebraically closed fields of characteristic 2. Although the story told in the book is inspired by the classification of the finite simple groups, it goes well beyond this source of inspiration. Not only do the techniques adapted from finite group theory cover, in a peculiar way, various portions of the three generations of approaches to finite simple groups but model theoretic methods also play an unexpected role. The book contains a complete account of all this material, part of which has not been published. In addition, almost every general result about groups of finite Morley rank is exposed in detail and the book ends with a chapter where the authors provide a list of open problems in the relevant fields of mathematics. As a result, the book provides food for thought to finite group theorists, model theorists, and algebraic geometers who are interested in group theoretic problems.

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