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
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