The Invariant Theory of Finite Groups

Fleischmann, Peter and Shank, R. James (2016) The Invariant Theory of Finite Groups. In: Bullett, Shaun and Fearn, Tom and Smith, Frank, eds. Algebra, Logic and Combinatorics. LTCC: Advanced Mathematics Series, 3 . World Scientific, London, UK, pp. 105-138. ISBN 978-1-78634-029-0. E-ISBN 978-1-78634-032-0. (doi:10.1142/9781786340313_0004) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:57869)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://www.worldscientific.com/worldscibooks/10.11...

Abstract

Mathematicians seek to exploit all available symmetry and often encode symmetry using the language of group actions. In this chapter we consider finite groups acting by ring automorphisms on a polynomial ring. Our goal is to understand the subring of invariant polynomials.

Item Type:	Book section
DOI/Identification number:	10.1142/9781786340313_0004
Uncontrolled keywords:	invariant theory
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	James Shank
Date Deposited:	13 Oct 2016 10:06 UTC
Last Modified:	20 May 2025 11:38 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/57869 (The current URI for this page, for reference purposes)

University of Kent Author Information

Fleischmann, Peter.

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CReDIT Contributor Roles:

Shank, R. James.

Creator's ORCID:	https://orcid.org/0000-0002-3317-4088
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