On rational functions with monodromy group M₁₁

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• 作者：Joachim Kö ; nig ^{joachim.koenig@mathematik.uni-wuerzburg.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Galois theory ; Number fields ; Moduli spaces ; Monodromy groups
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：March-April 2017
• 年：2017
• 卷：79
• 期：part_P2
• 页码：372-383
• 全文大小：332 K

文摘

We compute new polynomials with Galois group M₁₁msub>M11msub> over Q(t). These polynomials stem from various families of covers of P¹Cmsup>ruck">P1msup>ruck">C ramified over at least 4 points. Each of these families has features that make a detailed study interesting. Some of the polynomials lead, via specialization, to number fields with very small discriminant or few ramified primes.