1547845830-Classification_of_Quasithin_Groups_-_Volume_II__Aschbacher_

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 groups

H.11. M 12 on its 10-dimensional module

H.12. 3M 22 on its 12-dimensional modules

H.13. Preliminaries on the binary code and cocode modules

H.14. Some stabilizers in Mathieu groups

H.15. The cocode modules for the Mathieu groups

H.16. The code modules for the Mathieu groups

Chapter I. Statements of some quoted results

I. l. Elementary results on cohomology

I.2. Results on structure of nonsplit extensions

I.3. Balance and 2-components

I.4. Recognition Theorems

I.5. Characterizations of £4(2) and Sp5(2)

I.6. Some results on TI-sets

I.7. Tightly embedded subgroups

I.8. Discussion of certain results from the Bibliography

Chapter J. A characterization of the Rudvalis group

J.l. Groups of type Ru

J.2. Basic properties of groups of type Ru

J .3. The order of a group of type Ru

J.4. A^2 F 4 (2)-subgroup

J.5. Identifying Gas Ru

Chapter K. Modules for SQTK-groups with fj_(G, V) :::; 2.

Notation and overview of the approach

K. l. Alternating groups

K.2. Groups of Lie type and odd characteristic

K.3. Groups of Lie type and characteristic 2

K.4. Sporadic groups

Bibliography and Index

Background References Quoted

(Part 1: also used by GLS)

Background References Quoted

(Part 2: used by us but not by GLS)

Expository References Mentioned

Index

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

groups

Introduction to Volume II

0.1. Statement of Main Results

ix

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