Circulant matrices and Galois-Togliatti systems

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Date
2020
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De Poi, Pietro
Mezzetti, Emilia
Miró-Roig, Rosa Maria
Nevo, Eran
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Journal of Pure and Applied Algebra ; 224 (2020), 11. - 106404. - Elsevier. - ISSN 0022-4049. - eISSN 1873-1376
Abstract
The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we solve a conjecture stated in [17] concerning the minimality of GT-systems.
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ISO 690DE POI, Pietro, Emilia MEZZETTI, Mateusz MICHALEK, Rosa Maria MIRÓ-ROIG, Eran NEVO, 2020. Circulant matrices and Galois-Togliatti systems. In: Journal of Pure and Applied Algebra. Elsevier. 224(11), 106404. ISSN 0022-4049. eISSN 1873-1376. Available under: doi: 10.1016/j.jpaa.2020.106404
BibTex
@article{DePoi2020Circu-52454,
  year={2020},
  doi={10.1016/j.jpaa.2020.106404},
  title={Circulant matrices and Galois-Togliatti systems},
  number={11},
  volume={224},
  issn={0022-4049},
  journal={Journal of Pure and Applied Algebra},
  author={De Poi, Pietro and Mezzetti, Emilia and Michalek, Mateusz and Miró-Roig, Rosa Maria and Nevo, Eran},
  note={Article Number: 106404}
}
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