Topics in Galois theory

Title:

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.

Subject Term:

Galois theory.

Added Author:

Darmon, Henri, 1965-

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