Written by an algebraic topologist motivated by his own desire to
learn, this book represents the compilation of results in the
theory of polynomial invariants of finite groups. As well as
covering invariant theory, the book also introduces some of the
basic concepts behind ideal theory and homological algebra in a
liberating context, and discusses the mutual impact of invariant
theory and algebraic topology. Along the way, the author also
examines such topics as the Hilbert-Noether finiteness theorems,
methods for constructing invariants, the Poincare series,
localization and use of gradings, and the Hilbert Syzygy theorem.
Larry Smith includes numerous examples and illustrates the theorems
by applying them to concrete cases.
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