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On Exceptions in the Brauer-Kuroda Relations

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Browkin J., Brzeziński J., Xu K.

Bulletin of the Polish Academy of Sciences. Mathematics

2011

tom 59

nr 3

207-214

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.

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Mathematics

1 Browkin J.

1 Brzeziński J.

1 Xu K.

1 2011

Wyniki wyszukiwania

On Exceptions in the Brauer-Kuroda Relations