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 two. 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 an unusual combination, 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.
FREE Two-Day Shipping for students on millions of items. Learn more |
Book Description
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
This chapter contains material relating to the general theory of groups of finite Morley rank. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
definable hull, offending involution, weakly embedded subgroup, degenerate type groups, good torus, toral block, definable connected subgroup, decent torus, odd type groups, decent tori, pseudoreflection groups, signalizer functor theory, unipotent type, saturated fusion system, good tori, uniformly definable family, minimal parabolic type, involutory set, connected definable subgroup, quasisimple component, normal definable subgroup, parabolic isomorphic, rigid abelian, complex reflection groups, generically disjoint Key Phrases - Capitalized Phrases (CAPs): (learn more)
Algebraicity Conjecture, Suppose the Prüfer, Basic Fusion Lemma, Schur's Lemma Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter contains material relating to the general theory of groups of finite Morley rank. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
definable hull, offending involution, weakly embedded subgroup, degenerate type groups, good torus, toral block, definable connected subgroup, decent torus, odd type groups, decent tori, pseudoreflection groups, signalizer functor theory, unipotent type, saturated fusion system, good tori, uniformly definable family, minimal parabolic type, involutory set, connected definable subgroup, quasisimple component, normal definable subgroup, parabolic isomorphic, rigid abelian, complex reflection groups, generically disjoint Key Phrases - Capitalized Phrases (CAPs): (learn more)
Algebraicity Conjecture, Suppose the Prüfer, Basic Fusion Lemma, Schur's Lemma Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
