●1 Introduction
● 1.1 Outline of the book
● 1.2 Suggestions for further reading
● 1.3 Notations, background, conventions
●2 Bilinear Forms, Quadratic Forms and Their Isometry Groups.
● 2.1 Standard results on quadratic forms and reflections
● 2.1.1 Principal ideal domains (PIDs)
● 2.2 Linear algebra
● 2.2.1 Interpretation of nonsingularity
● 2.2.2 Extension of scalars
● 2.2.3 Cyclicity of the values of a rational bilinea.r form
● 2.2.4 Gram matrix
● 2.3 Discriminant group
● 2.4 Relations between a lattice and sublattices
● 2.5 Involutions on quadratic spaces
● 2.6 Standard results on quadratic forms and reflections, II
● 2.6.1 Involutions on lattices
● 2.7 Scaled isometries: norm doublers and triplers
●3 General Results on Finite Groups and Invariant Lattices
● 3.1 Discreteness of rational lattices
●部分目錄
