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Hilbert's theorem 90 for finite nilpotent groups | ||
International Journal of Group Theory | ||
مقاله 2، دوره 10، شماره 2، شهریور 2021، صفحه 61-64 اصل مقاله (164.75 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2019.116275.1545 | ||
نویسنده | ||
William Cocke* | ||
Department of Mathematics, University of Wisconsin Madison, WI, USA | ||
چکیده | ||
In this note we prove an analog of Hilbert's theorem 90 for finite nilpotent groups. Our version of Hilbert's theorem 90 was inspired by the Boston--Bush--Hajir (BBH) heuristics in number theory and will be useful in extending the BBH heuristics beyond quadratic field extensions. | ||
کلیدواژهها | ||
Nilpotent groups؛ BBH Heuristics؛ Hilbert's Theorem 90 | ||
مراجع | ||
[1] N. Boston, M. R. Bush and F. Hajir, Heuristics for p-class towers of imaginary quadratic fields, Math. Annalen., 368 (2017) 633–669. [2] I. M. Isaacs, Finite Group Theory, Graduate Studies in Mathematics, 92, Providence, RI: American Mathematical Society, 2008. [3] C. Quadrelli and T. Weigel, A group-theoretical version of Hilbert’s theorem 90, Bull. London Math. Soc., 47 (2015) 704–714. | ||
آمار تعداد مشاهده مقاله: 553 تعداد دریافت فایل اصل مقاله: 792 |