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Inverse problem of Galois theory of differential fields
N. V. Grigorenko
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Abelian obstructions in inverse Galois theory
2009We show that if a finite group G is the Galois group of a Galois cover of P1 over Q, then the orders pn of the abelianization of its p-Sylow subgroups are bounded in terms of their index m, of the branch point number r and the smallest prime ℓ ̸| |G| of good reduction of the branch divisor. This is a new constraint for the regular inverse Galois problem:
Cadoret, Anna, Dèbes, Pierre
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On the general inverse problem of Galois theory
1986Summary: For a finite group \(G\) and a field \(K\) let \(\nu(G,K)\) be the number of non-\(K\)-isomorphic separable normal extensions of \(K\) with \(G\) as a Galois group. Some results are announced concerning the distribution of the values of \(\nu(G,K)\).
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Poly(ADP-Ribose) polymerase (PARP) inhibitors: Exploiting a synthetic lethal strategy in the clinic
Ca-A Cancer Journal for Clinicians, 2011Timothy A Yap, Johann Sebastian de Bono
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Computational predictions of energy materials using density functional theory
Nature Reviews Materials, 2016Anubhav Jain +2 more
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Theory-guided design of catalytic materials using scaling relationships and reactivity descriptors
Nature Reviews Materials, 2019Zhi-Jian Zhao, Sihang Liu, Shenjun Zha
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