Wyniki wyszukiwania

1

Automorphisms of Witt rings of global fields

100%

Czogała A., Kula M.

Acta Arithmetica

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2014

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tom 163

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nr 1

1-13

EN

We construct an uncountable set of strong automorphisms of the Witt ring of a global field.

2

Wild primes of a self-equivalence of a number field

100%

Czogała A., Rothkegel B.

Acta Arithmetica

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2014

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tom 166

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nr 4

335-348

EN

Let K be a number field. Assume that the 2-rank of the ideal class group of K is equal to the 2-rank of the narrow ideal class group of K. Moreover, assume K has a unique dyadic prime 𝔡 and the class of 𝔡 is a square in the ideal class group of K. We prove that if 𝔭₁,...,𝔭ₙ are finite primes of K such that ∙ the class of $𝔭_i$ is a square in the ideal class group of K for every i ∈ {1,...,n}, ∙ -1 is a local square at $𝔭_i$ for every nondyadic $𝔭_i ∈ {𝔭₁,...,𝔭ₙ}$, then {𝔭₁,...,𝔭ₙ} is the wild set of some self-equivalence of the field K.

3

Kazimierz Szymiczek (1939-2015)

81%

Czogała A., Kula M., Sładek A.

Banach Center Publications

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2016

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tom 108

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nr 1

11-22

4

Wild Primes of a Higher Degree Self-Equivalence of a Number Field

81%

Czogała A., Rothkegel B., Sładek A.

Annales Mathematicae Silesianae

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2016

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tom 30

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nr 1

17-38

EN

Let ℓ > 2 be a prime number. Let K be a number field containing a unique ℓ-adic prime and assume that its class is an ℓth power in the class group CK. The main theorem of the paper gives a sufficient condition for a finite set of primes of K to be the wild set of some Hilbert self-equivalence of K of degree ℓ.

5

On reciprocity equivalence of quadratic number fields

50%

Czogała A.

Acta Arithmetica

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1991

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tom 58

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nr 1

27-46

Ograniczanie wyników

3 Acta Arithmetica

1 Annales Mathematicae Silesianae

1 Banach Center Publications

5 Czogała A.

2 Kula M.

2 Rothkegel B.

2 Sładek A.

2 2016

2 2014

1 1991

Automorphisms of Witt rings of global fields

Wild primes of a self-equivalence of a number field

Kazimierz Szymiczek (1939-2015)

Wild Primes of a Higher Degree Self-Equivalence of a Number Field

On reciprocity equivalence of quadratic number fields