Forwarded from Непрерывное математическое образование
arxiv.org/abs/2608.08538
«Researchers studying the inverse Galois problem realized 25 of the 26 sporadic finite simple groups as Galois groups over ℚ during 1984--1989. We complete this program by proving that the last remaining sporadic group, the Mathieu group M23, occurs as a Galois group over ℚ. In fact, we produce an explicit degree 23 polynomial with rational coefficients whose splitting field has Galois group M23 over ℚ. To accomplish this, we use a non-rigid triple of conjugacy classes of M23 and compute Belyi maps to construct an explicit regular Galois extension of ℚ(t) with Galois group M23. Essential for our computation is the numerical Belyi map algorithm developed and implemented by Klug, Musty, Schiavone, Sijsling, and Voight, inspired by ideas of Hejhal and Stark.»
Xiaoyu Huang, Blake Jackson, Kyu-Hwan Lee, Bjorn Poonen, Rachel Pries, Shaowu Zhang
«Researchers studying the inverse Galois problem realized 25 of the 26 sporadic finite simple groups as Galois groups over ℚ during 1984--1989. We complete this program by proving that the last remaining sporadic group, the Mathieu group M23, occurs as a Galois group over ℚ. In fact, we produce an explicit degree 23 polynomial with rational coefficients whose splitting field has Galois group M23 over ℚ. To accomplish this, we use a non-rigid triple of conjugacy classes of M23 and compute Belyi maps to construct an explicit regular Galois extension of ℚ(t) with Galois group M23. Essential for our computation is the numerical Belyi map algorithm developed and implemented by Klug, Musty, Schiavone, Sijsling, and Voight, inspired by ideas of Hejhal and Stark.»
Xiaoyu Huang, Blake Jackson, Kyu-Hwan Lee, Bjorn Poonen, Rachel Pries, Shaowu Zhang
arXiv.org
The Mathieu group $M_{23}$ is a Galois group over $\mathbb{Q}$
Researchers studying the inverse Galois problem realized 25 of the 26 sporadic finite simple groups as Galois groups over $\mathbb{Q}$ during 1984--1989. We complete this program by proving that...
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посмотрел я значит обсессию, ну, прикольно, вроде заезженная тема, но реализовано неплохо, плюс эмбиент пиздатый
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cssndev.
посмотрел я значит обсессию, ну, прикольно, вроде заезженная тема, но реализовано неплохо, плюс эмбиент пиздатый
но при этом он хуёвый как хоррор
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я в метро еду с шумодавом, он резко отключился и всё стало настолько громко, что пиздец, я охуел
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