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Polynomial Invariant of Finite Groups

Polynomial Invariant of Finite Groups

Paperback

Series: London Mathematical Society Lecture Note, Book 190

Algebra

ISBN10: 0521458862
ISBN13: 9780521458863
Publisher: Cambridge
Published: Oct 7 1993
Pages: 132
Weight: 0.49
Height: 0.36 Width: 6.04 Depth: 9.00
Language: English
This book covers a topic of great interest in abstract algebra. It gives an account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p. Heavy use is made of techniques from commutative algebra, and these are developed as needed. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring that ramify over the invariants. The author includes the recent proof of the Carlisle-Kropholler conjecture.

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Algebra