Geodesic
On the Simplicial Complexes Associated to the Cyclotomic Polynomial
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 2, p. 309 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Musiker and Reiner in \cite{MusikerReiner} studied coefficients of cyclotomic polynomial in terms of topology of associated simplicial complexes. They determined homotopy type of associated complexes for all cyclotomic polynomials, except for cyclotomic polynomials whose degree is a product of three prime numbers. Using discrete Morse theory for simplicial complexes we partially answer a question posed by the two authors regarding homotopy type of the associated complexes when degree of the cyclotomic polynomial is a product of three prime numbers.
Classification : 55U10, 55P10, 55P15
Keywords: cyclotomic polynomial, simplicial complexes, discrete Morse theory, homotopy type 
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     author = {Aleksandra Kosti\'c},
     title = {On the {Simplicial} {Complexes} {Associated} to the {Cyclotomic} {Polynomial}},
     journal = {Kragujevac Journal of Mathematics},
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Aleksandra Kostić. On the Simplicial Complexes Associated to the Cyclotomic Polynomial. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 2, p. 309 . http://geodesic.mathdoc.fr/item/KJM_2023_47_2_a10/