Wyniki wyszukiwania

1

On the elements of prime power order in K₂ of a number field

100%

Xu K.

Acta Arithmetica

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2007

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tom 127

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nr 2

199-203

2

On the cyclotomic elements in K₂ of a rational function field

59%

Xu K., Sun C., Chi S.

Acta Arithmetica

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2014

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tom 164

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nr 3

209-219

EN

If l is a prime number, the cyclotomic elements in the l-torsion of K₂(k(x)), where k(x) is the rational function field over k, are investigated. As a consequence, a conjecture of Browkin is partially confirmed.

3

On Exceptions in the Brauer-Kuroda Relations

59%

Browkin J., Brzeziński J., Xu K.

Bulletin of the Polish Academy of Sciences. Mathematics

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2011

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tom 59

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nr 3

207-214

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.

4

The formulas for the coefficients of the sum and product of p-adic integers with applications to Witt vectors

59%

Xu K., Dai Z., Dai Z.

Acta Arithmetica

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2011

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tom 150

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nr 4

361-384

Ograniczanie wyników

3 Acta Arithmetica

1 Bulletin of the Polish Academy of Sciences. Mathematics

4 Xu K.

1 Browkin J.

1 Brzeziński J.

1 Chi S.

1 Dai Z.

1 Sun C.

1 2014

2 2011

1 2007

On the elements of prime power order in K₂ of a number field

On the cyclotomic elements in K₂ of a rational function field

On Exceptions in the Brauer-Kuroda Relations

The formulas for the coefficients of the sum and product of p-adic integers with applications to Witt vectors