Arithmetic dynamics investigates the behaviour of iterated functions—often polynomials or rational maps—over number fields and function fields, while Galois theory provides the framework to analyse ...
Proceedings of the American Mathematical Society, Vol. 147, No. 12 (DECEMBER 2019), pp. 5093-5103 (11 pages) Let L/K be a finite Galois extension whose Galois group G is nonabelian and ...
The main theorem of this paper is that if (N, +) is a finite abelian p-group of p-rank m where m + 1 < p, then every regular abelian subgroup of the holomorph of N is ...
The FACTEX procedure constructs a fractional design for q-level factors using the Galois field (or finite field) of size q. This is a system with q elements and two operations + and ×, which satisfy ...
Bays (until 2023), Cuntz, Deninger, Gardam (2022-2023), Hartl, Hellmann, Hille, Hils, Jahnke, Kwiatkoswka, Lourenço (since 2024), Nikolaus, Scherotzke (until 2020 ...
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