Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and Relative Invariants - Finite Generation of Invariants - Constructio

chapter 1|22 pages

Invariants and Relative Invariants

chapter 2|18 pages

Finite Generation of Invariants

chapter 3|32 pages

Construction of Invariants

chapter 4|32 pages

Poincaré Series

chapter 6|38 pages

Homological Properties of Invariants

chapter 7|58 pages

Groups Generated by Reflections

chapter 8|28 pages

Modular Invariants

chapter 9|22 pages

Polynomial Tensor Exterior Algebras

chapter 10|38 pages

Invariant Theory and Algebraic Topology