دانلود کتاب The Spread of Almost Simple Classical Groups (Lecture Notes in Mathematics)

فهرست مطالب :

Preface
Contents
1 Introduction
2 Preliminaries
Notational Conventions
2.1 Probabilistic Method
2.2 Classical Groups
2.3 Actions of Classical Groups
2.4 Standard Bases
2.5 Classical Algebraic Groups
2.6 Maximal Subgroups of Classical Groups
2.7 Computational Methods
3 Shintani Descent
3.1 Introduction
3.2 Properties
3.3 Applications
3.4 Generalisation
4 Fixed Point Ratios
4.1 Subspace Actions
4.2 Nonsubspace Actions
5 Orthogonal Groups
5.1 Introduction
5.2 Automorphisms
5.2.1 Preliminaries
5.2.2 Plus-Type
5.2.3 Minus-Type
5.2.4 Conjugacy of Outer Automorphisms
5.3 Elements
5.3.1 Preliminaries
5.3.2 Types of Semisimple Elements
5.3.3 Reflections
5.3.4 Field Extension Subgroups
5.4 Case I: Semilinear Automorphisms
5.4.1 Case I(a)
5.4.2 Case I(b)
5.5 Case II: Linear Automorphisms
5.5.1 Case II(a)
5.5.2 Case II(b)
5.6 Case III: Triality Automorphisms
5.6.1 Case III(a)
5.6.2 Case III(b)
5.6.3 Case III(c)
6 Unitary Groups
6.1 Introduction
6.2 Automorphisms
6.3 Elements
6.4 Case I: Semilinear Automorphisms
6.4.1 Case I(a)
6.4.2 Case I(b)
6.5 Case II: Linear Automorphisms
6.5.1 Case II(a)
6.5.2 Case II(b)
6.6 Linear Groups
A Magma Code
References