On The Artin Conductor fArtin(c) of a Character c of Gal (E/K) I: Basic Definitions

Kazım İlhan İKEDA

Makale detayları

On The Artin Conductor fArtin(c) of a Character c of Gal (E/K) I: Basic Definitions

Yazarlar:

Kazım İlhan İKEDA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 1999 Vol.23 Issue 4, pp.519-530

Belge Tipi:

Makale

Yayın Tarihi:

3/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749255

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Let K be a local field with finite residue class field and E a finite Galois extension over K. In this paper, we study the Artin conductor \frak f\rm Artin(c\rho) of a character c\rho associated to a representation r:\mbox{Gal}(E/K)\rightarrow GL(V) of \mbox{Gal}(E/K) with metabelian kernel \mbox{ker}(r). In order to do so, we first review the Artin character a\mbox{Gal}(E/K) of \mbox{Gal}(E/K) and review the metabelian local class field theory. We finally propose the definition of the conductor \frak f(E/K) of a metabelian extension E/K in the sense of Koch-de Shalit local class field theory, and compute \frak f\rm Artin(c\rho) under a suitable assumption.

 

Let K be a local field with finite residue class field and E a finite Galois extension over K. In this paper, we study the Artin conductor \frak f\rm Artin(c\rho) of a character c\rho associated to a representation r:\mbox{Gal}(E/K)\rightarrow GL(V) of \mbox{Gal}(E/K) with metabelian kernel \mbox{ker}(r). In order to do so, we first review the Artin character a\mbox{Gal}(E/K) of \mbox{Gal}(E/K) and review the metabelian local class field theory. We finally propose the definition of the conductor \frak f(E/K) of a metabelian extension E/K in the sense of Koch-de Shalit local class field theory, and compute \frak f\rm Artin(c\rho) under a suitable assumption.

Makale detayları

On The Artin Conductor fArtin(c) of a Character c of Gal (E/K) I: Basic Definitions

Yazarlar:

Kazım İlhan İKEDA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 1999 Vol.23 Issue 4, pp.519-530

Belge Tipi:

Makale

Yayın Tarihi:

3/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749255

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

23

(1999)

519-530. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.23

iss.4.

Sayı

Makale detayları

On The Artin Conductor fArtin(c) of a Character c of Gal (E/K) I: Basic Definitions

Yazarlar: Kazım İlhan İKEDA

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 1999 Vol.23 Issue 4, pp.519-530

Belge Tipi: Makale

Yayın Tarihi: 3/1999

Belge Dili: Türkçe

Document ID (Org No.): 2000749255

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

23

(1999)

519-530. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.23

iss.4.

Sayı

Yazarlar:

Kazım İlhan İKEDA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 1999 Vol.23 Issue 4, pp.519-530

Belge Tipi:

Makale

Yayın Tarihi:

3/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000749255

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098