1547845830-Classification_of_Quasithin_Groups_-_Volume_II__Aschbacher_

The Classification of Quasithin Groups II. Main Theorems: The Classification of Simple QTKE-groups ...

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Mathematical Surveys and Monographs Volume 112 The Classification of Quasithin Groups II. Main Theorems: The Classification of S ...

QA 177 AB 2004 v. STEACIE EDITORIAL COMMITTEE Jerry L. Bona Peter S. Landweber, Chair Michael G. Eastwood Michael P. Loss J. T. ...

To Pam and Judy ...

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Contents of Volumes I and II ...

viii CONTENTS OF VOLUMES I AND II C.4. Pushing up in constrained 2-locals C.5. Finding a common normal subgroup ...

CONTENTS OF VOLUMES I AND II H.8. A1 on 4 E9 4 H.9. Aut(Ln(2)) on the natural n plus the dual n* H.10. A foreword on Mathieu gro ...

x CONTENTS OF VOLUMES I AND II 0.2. Context and History 0.3. An Outline of the Proof of the Main Theorem 0.4. An Outline of the ...

CONTENTS OF VOLUMES I AND II xi Volume I: Structure of strongly quasithin JC-groups Preface xiii Introduction to Volume I 0.1. ...

xii 14.1. 14.2. 14.3. 14.4. 14.5. 14.6. 14.7. 14.8. CONTENTS Preliminary results for the case .Cr(G, T) empty Starting the L 2 ( ...

Volume II: Main Theorems; the classification of simple QTKE-groups ...

In Volume II we establish our Main Theorem classifying the simple QTKE- groups. The proof uses machinery from Volume I. Also in ...

Introduction to Volume II The treatment of the "quasithin groups of even characteristic" is one of the major steps in the Classi ...

482 INTRODUCTION TO VOLUME II where M(T) denotes those members of M containing T. The class of simple groups of even characteris ...

0.2. CONTEXT AND HISTORY 483 groups which again satisfy (QT) and (K), but instead of condition (E) they impose a more technical ...

484 INTRODUCTION TO VOLUME II and in particular is more complex, so that this centralizer is more difficult to deal with. We see ...

0.2. CONTEXT AND HISTORY 485 Two non-simple configurations. Let L be a simple group of Lie type in char- acteristic 2, and assum ...

486 INTRODUCTION TO VOLUME II This leaves the question of why the boundary of the partition according to size occurs when e( G) ...