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Topics in Galois theory / Jean-Pierre Serre ; notes written by Henri Darmon.

By: Contributor(s): Material type: TextTextSeries: Research notes in mathematics (Boston, Mass.) ; 1.Publication details: Wellesley, Mass. : A.K. Peters, c2008.Edition: 2nd edDescription: xvi, 120 p. ; 24 cmISBN:
  • 9781568814124
Subject(s): LOC classification:
  • QA214 .S47 2008
Available additional physical forms:
  • Also available as an electronic resource.
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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Includes bibliographical references (p. 109-117) and index.

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.

Also available as an electronic resource.

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