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Title:
Topics in Galois theory
Author:
Serre, Jean-Pierre.
ISBN:
9781439865255
Edition:
2nd ed.
Publication Information:
Wellesley, Mass. : A.K. Peters, c2008.
Physical Description:
xvi, 120 p.
Series:
Research notes in mathematics ; v. 1
Series Title:
Research notes in mathematics ; v. 1
Contents:
1. Examples in low degree -- 2. Nilpotent and solvable groups as Galois groups over Q -- 3. Hilbert's irreducibility theorem -- 4. Galois extensions of Q(T) : first examples -- 5. Galois extensions of Q(T) given by torsion on elliptic curves -- 6. Galois extensions of C(T) -- 7. Rigidity and rationality on finite groups -- 8. Construction of Galois extensions of Q(T) by the rigidity method -- 9. The form Tr(x[superscript 2]) and its applications -- 10. Appendix : the large sieve inequality.
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