Christopher Parker,
Peter Rowley
Springer London
2002e druk, 2002
9781852334307
Symplectic Amalgams
Specificaties
Gebonden, 361 blz.
|
Engels
Springer London |
2002e druk, 2002
ISBN13: 9781852334307
Rubricering
Onderdeel van serie
Springer Monographs in Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
The aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups. In all there sixteen infinite families of symplectic amalgams together with 62 more exotic examples. The classification touches on many important aspects of modern group theory: * p-local analysis * the amalgam method * representation theory over finite fields; and * properties of the finite simple groups. The account is for the most part self-contained and the wealth of detail makes this book an excellent introduction to these recent developments for graduate students, as well as a valuable resource and reference for specialists in the area.
Specificaties
ISBN13:9781852334307
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:361
Uitgever:Springer London
Druk:2002
Inhoudsopgave
Introduction
Preliminaries
The Structure of SL2 ( q ) and its Modules
Elementary Properties of Symplectic Amalgams
The Structure of Qa
The Lb-Chief Factors in Vb
Reduced Symplectic Amalgams
The Largest Normal p'-Subgroup of Lb/Qb
The Components of Lb/Qb
The Reduction to Quasisimple when CUa (Ua / Za) * Qb
A First Look at the Amalgams with ö Vb / Z (Vb) ö =3D q4
The Story so Far
Groups of Lie-Type
Modules for Groups of Lie Type
Sporadic Simple Groups and their Modules
Alternating Groups and their Modules
Rank One Groups
Lie-Type Groups in Characteristic p and Rank * 2
Lie-Type Groups and Natural Modules
Lie Type Groups in Characteristic not p
Alternating Groups
Sporadic Simple Groups
The Proof of the Main Theorems
A Brief Survey of Amalgam Results
References
Index
Preliminaries
The Structure of SL2 ( q ) and its Modules
Elementary Properties of Symplectic Amalgams
The Structure of Qa
The Lb-Chief Factors in Vb
Reduced Symplectic Amalgams
The Largest Normal p'-Subgroup of Lb/Qb
The Components of Lb/Qb
The Reduction to Quasisimple when CUa (Ua / Za) * Qb
A First Look at the Amalgams with ö Vb / Z (Vb) ö =3D q4
The Story so Far
Groups of Lie-Type
Modules for Groups of Lie Type
Sporadic Simple Groups and their Modules
Alternating Groups and their Modules
Rank One Groups
Lie-Type Groups in Characteristic p and Rank * 2
Lie-Type Groups and Natural Modules
Lie Type Groups in Characteristic not p
Alternating Groups
Sporadic Simple Groups
The Proof of the Main Theorems
A Brief Survey of Amalgam Results
References
Index