Involve: A Journal of Mathematics
- Volume 1, Number 2 (2008), 159-165.
Invariant polynomials and minimal zero sequences
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.
Involve, Volume 1, Number 2 (2008), 159-165.
Received: 28 October 2007
Accepted: 1 November 2007
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 13A50: Actions of groups on commutative rings; invariant theory [See also 14L24] 20K01: Finite abelian groups [For sumsets, see 11B13 and 11P70]
Secondary: 20M14: Commutative semigroups
Finklea, Bryson; Moore, Terri; Ponomarenko, Vadim; Turner, Zachary. Invariant polynomials and minimal zero sequences. Involve 1 (2008), no. 2, 159--165. doi:10.2140/involve.2008.1.159. https://projecteuclid.org/euclid.involve/1513799087