1st Edition

Polynomial Invariants of Finite Groups




ISBN 9780367449131
Published December 2, 2019 by A K Peters/CRC Press
382 Pages

 
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Book Description

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 - Construction of Invariants - Poincaré Series - Dimension Theoretic Properties of Rings of Invariants - Homological Properties of Invariants - Groups Generated by Reflections - Modular Invariants - Polynomial Tensor Exterior Algebras - Invariant Theory and Algebraic Topology - The Steenrod Algebra and Modular Invariant Theory

Table of Contents

1. Invariants and Relative Invariants 2. Finite Generation of Invariants 3. Construction of Invariants 4. Poincare Series 5. Dimension Theoretic Properties of Rings of Invariants 6. Homological Properties of Invariants 7. Groups Generated by Reflections 8. Modular Invariants 9. Polynomial Tensor Exterior Algebras 10. Invariant Theory and Algebraic Topology 11. The Steenrod Algebra and Modular Invariant Theory

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Author(s)

Biography

Smith, Larry