Polynomial Invariants of Finite Groups

by Larry Smith

Overview

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

Product Details

ISBN-13:	9780367449131
Publisher:	A K PETERS
Publication date:	12/02/2019
Pages:	382
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Smith, Larry

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

Editorial Reviews

An algebraic topologist explores the invariant theory of finite groups, confining himself to finite groups and polynomial invariants in order to keep the volume liftable by a single mathematician. A recurrent theme is the extension of characteristic zero results to arbitrary characteristics, or to at least the nonmodular case, and the interest at finding many of the extensions false. Poincare series, dimensional theoretic properties of rings of invariants, and polynomial tensor exterior algebras are among the topics. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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