Abstract
Let \(D_n\) denote the dihedral group of order 2n. We find infinite \(D_6\)-families and an infinite \(D_3\)-family of monic irreducible reciprocal sixth-degree polynomials \(f(x)\in \mathbb {Z}[x]\), such that \(\{1,\theta ,\theta ^2,\theta ^3,\theta ^4,\theta ^5\}\) is a basis for the ring of integers of \(L=\mathbb {Q}(\theta )\), where \(f(\theta )=0\).
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Jones, L. Sextic reciprocal monogenic dihedral polynomials. Ramanujan J 56, 1099–1110 (2021). https://doi.org/10.1007/s11139-020-00310-w
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DOI: https://doi.org/10.1007/s11139-020-00310-w