fArtin (χ) χ (E/K)
Turkish Journal of Mathematics, cilt.23, sa.4, ss.519-530, 1999 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23 Sayı: 4
- Basım Tarihi: 1999
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.519-530
- Anahtar Kelimeler: Artin conductor, Higher-ramification groups, Local fields, Metabelian local class field theory
- Boğaziçi Üniversitesi Adresli: Hayır
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 f Artin (χρ) of a character χρ associated to a representation p : Gal(E/K) → GL(V) of Gal(E/K) with metabelian kernel ker(ρ). In order to do so, we first review the Artin character aGal(E/K) of Gal(E/K) and review the metabelian local class field theory. We finally propose the definition of the conductor f(E/K) of a metabelian extension E/K in the sense of Koch-de Shalit local class field theory, and compute fArtin (χρ) under a suitable assumption.