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Invariant
polynomials and minimal zero sequences
Bryson W. Finklea, Terri Moore, Vadim Ponomarenko and Zachary J. Turner
Vol. 1 (2008), No. 2, 159–165
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Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 13A50, 20K01
Secondary: 20M14
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Milestones
Received: 28 October 2007
Accepted: 1 November 2007
Published: 1 July 2008
Communicated by Scott Chapman
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Authors |
| Bryson W. Finklea | |
| Terri Moore | |
| Department of Mathematics University of Nebraska-Lincoln 203 Avery Hall Lincoln, NE 68588-0130 United States |
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| Vadim Ponomarenko | |
| Department of Mathematics and
Statistics San Diego State University San Diego, CA 92182 United States |
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| http://www-rohan.sdsu.edu/~vadim | |
| Zachary J. Turner | |
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