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Solution of the Inverse Problem of Differential Galois Theory in the Classical Case
Carol Tretkoff, Marvin Tretkoff
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INVERSE DIFFERENTIAL GALOIS THEORY
Andy R. Magid
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The Fundamental Theorem of Galois Theory
Galois Theory and Its Algebraic Background, 2021(i) The function : intermediate fields of E=k ! subgroups of Gal(E=k); defined by : F 7! Gal(E=F ), is an order-reversing bijection with inverse Æ : subgroups of Gal(E=k) ! intermediate fields of (E=k); given by Æ : H 7! E .
P. Cassidy
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Inverse problem of Galois theory of differential fields
N. V. Grigorenko
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On the Inverse Problem in the Galois Theory of Differential Fields: II
J. Kovacic
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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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