典型群、错排与素数

本书主要介绍了有限典型群的特点，对素数阶元素的共轭性和几何学进行了全面的阐述。当一个原始群的基本无序群是为确定一个基本的无序群而量身定做的时候，对于G阶的每个素因子r，本书详细分析了有限经典群的共轭类和子群结构。本书共六章，包括计数异常、有限典型群、共轭类、子空间作用、线性群、辛群、非子空间作用和低维典型群、几何作用、非几何作用等内容。本书学术性较强，适合学术研究人员、从事代数相关领域的研究生及相关爱好者参考阅读。

List of tables
Preface
Acknowledgements
Notational conventions
1 Introduction
1.1 Derangements
1.2 Counting derangements
1.3 Derangements of prescribed order
1.4 Derangements in classical groups
1.5 Main results
2 Finite classical groups
2.1 Linear groups
2.2 Forms
2.3 Unitary groups
2.4 Symptectic groups
2.5 Orthogonal groups
2.6 Subgroup structure
3 Conjugacy classes
3.1 Preliminaries
3.2 Linear groups
3.3 Unitary groups
3.4 Symplectic groups
3.5 Orthogonal groups
4 Subspace actions
4.1 Introduction
4.2 Preliminaries
4.3 Linear groups
4.4 Unitary groups
4.5 Symplectic groups
4.60 rthogonal groups
5 Non-subspace actions
5.1 Introduction
5.2 l2: Imprimitive subgroups
5.3 l3: Field extension subgroups
5.4 l4: Tensor product subgroups, I
5.5 l5: Subfield subgroups
5.6 l6: Local subgroups
5.7 l7: Tensor product subgroups, II
5.8 l8: Classical subgroups
5.9 Novelty subgroups
6 Low-dimensional classical groups
6.1 Introduction
6.2 Geometric actions
6.3 Non-geometric actions
6.4 Tables
Appendix A Number-theoretic miscellanea
Appendix B Tables
References
Index
编辑手记