Polynomial Invariants of Finite Groups (London Mathematical Society Lecture Note Series, Series Number 190)

Benson, D. J.

ISBN 10: 0521458862 / ISBN 13: 9780521458863

Published by Cambridge University Press, 1993

About this Item

132 pp., paperback, very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

Seller Inventory # ZB1334181

Bibliographic Details

• Title: Polynomial Invariants of Finite Groups (London Mathematical Society Lecture Note Series, Series Number 190)
• Publisher: Cambridge University Press
• Publication Date: 1993
• Language: English
• ISBN 10: 0521458862
• ISBN 13: 9780521458863
• Binding: Soft cover
• Condition: Very Good

About this title

Synopsis

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.

Book Description

Heavy use is made of techniques from commutative algebra in this 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, a topic of great interest in abstract algebra.