Symplectic amalgams

著者

• Parker, Christopher
• Rowley, Peter

書誌事項

Symplectic amalgams

Christopher Parker, Peter Rowley

（Springer monographs in mathematics）

Springer, c2002

注記

Includes bibliographical references (p. 345-355) and index

内容説明・目次

内容説明

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.

目次

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 oe Vb / Z (Vb) oe =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

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詳細情報

• NII書誌ID(NCID): BA57013913
• ISBN:
  • 1852334304
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: London
• ページ数/冊数: xi, 361 p.
• 大きさ: 24 cm
• 件名:
  • LCSH : Amalgams(Group theory)
  • LCSH : Symplectic groups
• 親書誌ID:
  • BA3386797X