A01=Alexandre V. Borovik
A01=Gregory Cherlin
A01=Tuna Altinel
Author_Alexandre V. Borovik
Author_Gregory Cherlin
Author_Tuna Altinel
Category=PBKD
Category=PBM
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eq_isMigrated=2
eq_nobargain
Product details
- ISBN 9780821843055
- Weight: 1162g
- Publication Date: 30 Apr 2008
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
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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.
