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ORBi

Results 1-20 of 85.
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Congruence Theorems in the past, present, and future Perucca, Antonella in For the Learning of Mathematics (in press) Detailed reference viewed: 25 (2 UL)Kummer theory for products of one-dimensional tori Perissinotto, Flavio ; Perucca, Antonella in Publications Mathematiques de Besançon (in press) Let T be a finite product of one-dimensional tori defined over a number field K. We consider the torsion-Kummer extension K(T[nt], (1/n)G), where n,t are positive integers and G is a finitely generated ... [more ▼] Let T be a finite product of one-dimensional tori defined over a number field K. We consider the torsion-Kummer extension K(T[nt], (1/n)G), where n,t are positive integers and G is a finitely generated group of K-points on T. We show how to compute the degree of K(T[nt], (1/n)G) over K and how to determine whether T is split over such an extension. If K=Q, then we may compute at once the degree of the above extensions for all n and t. [less ▲] Detailed reference viewed: 158 (42 UL)Rubik's Snakes on a plane Grotto, Francesco ; Perucca, Antonella ; in College Mathematics Journal (in press) Detailed reference viewed: 152 (38 UL)Multiplying mathematical teachers Perucca, Antonella Diverse speeches and writings (2023) Detailed reference viewed: 30 (1 UL)Congruence theorems for convex polygons involving sides, angles, and diagonals Perucca, Antonella ; Torti, Emiliano in International Journal of Geometry (2023), 12(2023), 83-92 Detailed reference viewed: 152 (52 UL)Visual Mathematical Dictionary Perucca, Antonella Article for general public (2022) Detailed reference viewed: 62 (16 UL)Minorities in Mathematics Perucca, Antonella Article for general public (2022) Detailed reference viewed: 93 (19 UL)Geometrie der römischen Mosaiken Perucca, Antonella Scientific Conference (2022) Detailed reference viewed: 33 (0 UL)Der 50cm lange Gliedermaßstab Foyen, Andy ; Perucca, Antonella in Beiträge zum Mathematikunterricht 2022 (Tagungsband GDM) (2022) Detailed reference viewed: 82 (4 UL)Kummer theory for multiquadratic or quartic cyclic number fields Perissinotto, Flavio ; Perucca, Antonella in Uniform distribution theory (2022), 17(no. 2), 165-194 Detailed reference viewed: 116 (16 UL)Proportionalitätsrechner für Menschen mit einer Dyskalkulie Perucca, Antonella ; Ronk, Pit Ferdy Scientific Conference (2022) Detailed reference viewed: 48 (9 UL)Unified treatment of Artin-type problems ; Perucca, Antonella in Research in Number Theory (2022) Detailed reference viewed: 35 (2 UL)Sharing calculations to understand arithmetical algorithms and parallel computing ; Perucca, Antonella in Mathematics Teacher (2022) Detailed reference viewed: 128 (10 UL)Explicit Kummer generators for cyclotomic extensions ; Perucca, Antonella ; Sgobba, Pietro et al in JP Journal of Algebra, Number Theory and Applications (2022) Detailed reference viewed: 144 (17 UL)Arithmetic Billiards Perucca, Antonella ; ; Tronto, Sebastiano in Recreational Mathematics Magazine (2022) Detailed reference viewed: 115 (9 UL)Staircase numbers Perucca, Antonella Article for general public (2021) Detailed reference viewed: 74 (0 UL)Every number is the beginning of a power of 2 Perucca, Antonella Article for general public (2021) Detailed reference viewed: 71 (5 UL)How to become the world record holder for solving the Rubik's cube Perucca, Antonella ; Tronto, Sebastiano Speeches/Talks (2021) Detailed reference viewed: 63 (14 UL)The degree of Kummer extensions of number fields Perucca, Antonella ; Sgobba, Pietro ; Tronto, Sebastiano in International Journal of Number Theory (2021) Let K be a number field, and let \alpha_1, ... , \alpha_r be elements of K* which generate a subgroup of K* of rank r. Consider the cyclotomic-Kummer extensions of K given by K(\zeta_n, \sqrt[n_1]{\alpha ... [more ▼] Let K be a number field, and let \alpha_1, ... , \alpha_r be elements of K* which generate a subgroup of K* of rank r. Consider the cyclotomic-Kummer extensions of K given by K(\zeta_n, \sqrt[n_1]{\alpha_1}, ... , \sqrt[n_r]{\alpha_r}), where n_i divides n for all i. There is an integer x such that these extensions have maximal degree over K(\zeta_g, \sqrt[g_1]{\alpha_1}, ... , \sqrt[g_r]{\alpha_r}), where g=\gcd(n,x) and g_i=\gcd(n_i,x). We prove that the constant x is computable. This result reduces to finitely many cases the computation of the degrees of the extensions K(\zeta_n, \sqrt[n_1]{\alpha_1}, ... , \sqrt[n_r]{\alpha_r}) over K. [less ▲] Detailed reference viewed: 207 (12 UL)Kummer theory for number fields via entanglement groups Perucca, Antonella ; Sgobba, Pietro ; Tronto, Sebastiano in Manuscripta Mathematica (2021) Detailed reference viewed: 158 (6 UL) |
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