On Exceptions in the Brauer-Kuroda Relations

• Autorzy: Jerzy Browkin , Juliusz Brzeziński , Kejian Xu
• Języki publikacji: EN

Abstrakty

EN

Let F be a Galois extension of a number field k with the Galois group G. The Brauer-Kuroda theorem gives an expression of the Dedekind zeta function of the field F as a product of zeta functions of some of its subfields containing k, provided the group G is not exceptional. In this paper, we investigate the exceptional groups. In particular, we determine all nilpotent exceptional groups, and give a sufficient condition for a group to be exceptional. We give many examples of nonnilpotent solvable and nonsolvable exceptional groups.

Kategorie tematyczne

• 11R42: Zeta functions and L -functions of number fields
• 20D15: Nilpotent groups, p -groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: 59
• Numer: 3
• Strony: 207-214

Daty

wydano

2011

Twórcy

autor

Jerzy Browkin

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, PL-00-956 Warszawa, Poland

autor

Juliusz Brzeziński

• Mathematical Sciences, Chalmers University of Technology, and the University of Gothenburg, S-41296 Göteborg, Sweden

autor

Kejian Xu

• College of Mathematics, Qingdao University, Qingdao 266071, China

Identyfikatory

DOI

10.4064/ba59-3-3