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Vol. 1, No. 2, 2008
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Invariant polynomials and minimal zero sequences

Bryson W. Finklea & Terri Moore & Vadim Ponomarenko & Zachary J. Turner

Vol. 1 (2008), No. 2, 159-165
Abstract

A connection is developed between polynomials invariant under abelian permutation of their variables and minimal zero sequences in a finite abelian group. This connection is exploited to count the number of minimal invariant polynomials for various abelian groups.
Keywords

invariant polynomials, minimal zero sequences, finite abelian group, block monoid, zero-sum

Mathematical Subject Classification

Primary: 13A50, 20K01

Secondary: 20M14
Authors
Bryson W. Finklea
 
Terri Moore
Department of Mathematics
University of Nebraska-Lincoln
203 Avery Hall
Lincoln, NE 68588-0130
United States
Vadim Ponomarenko
Department of Mathematics and Statistics
San Diego State University
San Diego, CA 92182
United States
Zachary J. Turner