A note on the Hilbert ideals of a cyclic group of prime order

Date

2007

Authors

Sezer, M.

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

BUIR Usage Stats
1
views
13
downloads

Citation Stats

Series

Abstract

The Hilbert ideal is the ideal generated by positive degree invariant polynomials of a finite group. For a cyclic group of prime order p, we show that the image of the transfer lie in the ideal generated by invariants of degree at most p - 1. Consequently we show that the Hilbert ideal corresponding to an indecomposable representation is generated by polynomials of degree at most p, confirming a conjecture of Harm Derksen and Gregor Kemper for this case. © 2007 Elsevier Inc. All rights reserved.

Source Title

Journal of Algebra

Publisher

Academic Press

Course

Other identifiers

Book Title

Degree Discipline

Degree Level

Degree Name

Citation

Published Version (Please cite this version)

Language

English