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Capitulation for even $K$ -groups in the cyclotomic $ℤ_{p}$ -extension.

Romain Validire (2009)

Journal de Théorie des Nombres de Bordeaux

Let $p$ be a prime number and $F$ be a number field. Since Iwasawa’s works, the behaviour of the $p$ -part of the ideal class group in the $ℤ_{p}$ -extensions of $F$ has been well understood. Moreover, M. Grandet and J.-F. Jaulent gave a precise result about its abelian $p$ -group structure.On the other hand, the ideal class group of a number field may be identified with the torsion part of the $K_{0}$ of its ring of integers. The even $K$ -groups of rings of integers appear as higher versions of the class group. Many authors...

Displaying 1 – 6 of 6

Capitulation for even $K$ -groups in the cyclotomic $ℤ_{p}$ -extension.

Class groups and general linear group cohomology for a ring of algebraic integers.

Codescente en K-théorie étale et corps de nombres.

Coleman power series for $K_{2}$ and $p$ -adic zeta functions of modular forms.

Conditions under which $K ₂ (_{F})$ is not generated by Dennis-Stein symbols

Correction to the paper “Classical motivic polylogarithm according to Beilinson and Deligne”.

Currently displaying 1 – 6 of 6

Displaying 1 – 6 of 6

Capitulation for even K -groups in the cyclotomic ℤ p -extension.

Class groups and general linear group cohomology for a ring of algebraic integers.

Codescente en K-théorie étale et corps de nombres.

Coleman power series for K 2 and p -adic zeta functions of modular forms.

Conditions under which K ₂ ( F ) is not generated by Dennis-Stein symbols

Correction to the paper “Classical motivic polylogarithm according to Beilinson and Deligne”.

Currently displaying 1 – 6 of 6

Capitulation for even $K$ -groups in the cyclotomic $ℤ_{p}$ -extension.

Coleman power series for $K_{2}$ and $p$ -adic zeta functions of modular forms.

Conditions under which $K ₂ (_{F})$ is not generated by Dennis-Stein symbols