●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
編輯手記

本書主要介紹了有限典型群的特點，對素的共軛性和幾何學進行了全面的闡述。當一個原始群的基本無序群是為確定一個基本的無序群而量身定做的時候，對於G階的每個素因子r，本書詳細分析了有限經典群的共軛類和子群結構。本書共六章，包括計數異常、有限典型群、共軛類、子空間作用、線性群、辛群、非子空間作用和低維典型群、幾何作用、非幾何作用等內容。本書學術性較強，適合學術研究人員、從事代數相關領域的研究生及相關愛好者參考閱讀。