Tame kernels of cyclic extensions of number fields
Tame kernels of quintic cyclic fields
The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
1. Introduction. Let F be a number field and the ring of its integers. Many results are known about the group , the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of . As compared with real quadratic fields, the 2-Sylow subgroups of for imaginary quadratic fields F are more difficult to deal with. The objective of this paper is to prove a few theorems on the structure of the 2-Sylow subgroups of for imaginary quadratic fields F. In our Ph.D. thesis (see...
The 3-ranks of tame kernels of cubic cyclic number fields
The 4-rank of for real quadratic fields F
The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
The 8-rank of tame kernels of quadratic number fields
The Bloch-Wigner-Ramakrishnan polylogarithm function.
The functor for the ring of integers of a number field
The Iwasawa invariants and the higher -groups associated to real quadratic fields.
The structure of the 2-Sylow-subgroup of K2(...), I.
The structure of the tame kernels of quadratic number fields (II)
The structure of the tame kernels of quadratic number fields (I)
The Sylow p-Subgroups of Tame Kernels in Dihedral Extensions of Number Fields
Let F/E be a Galois extension of number fields with Galois group . In this paper, we give some expressions for the order of the Sylow p-subgroups of tame kernels of F and some of its subfields containing E, where p is an odd prime. As applications, we give some results about the order of the Sylow p-subgroups when F/E is a Galois extension of number fields with Galois group .
Théorèmes de réflexion
Soit un corps de nombres contenant et muni d’un groupe d’automorphismes d’ordre étranger à ; pour toute représentation -irréductible de , de caractère , et tout -module , soit rg l’entier maximum tel que contienne . Nous établissons par exemple la formule générale explicite suivante :où et sont des ensembles finis disjoints de places de tels que contienne les places au-dessus de , où est le groupe de classes généralisées qui correspond, par le corps de classes, au...
Total positivity and algebraic Witt classes.
Trace maps in algebraic K-theory and the Coates-Wiles homomorphism.
Trivialité du -rang du noyau hilbertien
We give exhaustive list of biquadratic fields and without -exotic symbol, i.e. for which the -rank of the Hilbert kernel (or wild kernel) is zero. Such are logarithmic principals [J3]. We detail an exemple of this technical numerical exploration and quote the family of theories and results we utilize. The -rank of tame, regular and wild kernel of -theory are connected with local and global problem of embedding in a -extension. Global class field theory can describe the -rank of the Hilbert...
Wild kernels at the prime 2
Zagier’s conjecture and Wedge complexes in algebraic -theory