Invariant polynomials and minimal zero sequences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 2008 English Publisher:Mathematical Sciences PublishersJournal:Involve, a Journal of Mathematics, volume 1, pages 159-165 (issn: 1944-4176,

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Authors: Finklea, Bryson; Moore, Terri; Ponomarenko, Vadim; Turner, Zachary;

doi: 10.2140/involve.2008.1.159

Invariant polynomials and minimal zero sequences

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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.

Related Organizations

University of Nebraska System
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University of Nebraska–Lincoln
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San Diego State University
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Keywords

20K01, invariant polynomials, finite abelian group, minimal zero sequences, block monoid, 13A50, 20M14, zero-sum

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