Computation of K2 for the ring of integers of quadratic imaginary fields

Sheng Chen; Hong You

doi:10.1007/BF02880134

Computation of K₂ for the ring of integers of quadratic imaginary fields

Sheng Chen
, Hong You^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This paper presents a method to get improved bounds for norms of exceptional v ' s in computing the group K₂ O_F where F is a quadratic imaginary field, and as an application we show that K₂Z[(1 + √-43;)/2] = 1.

Original language	English
Pages (from-to)	846-855
Number of pages	10
Journal	Science in China, Series A: Mathematics
Volume	44
Issue number	7
DOIs	https://doi.org/10.1007/BF02880134
State	Published - Jul 2001

Keywords

K group
Quadratic imaginary field
Tate method

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10.1007/BF02880134

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abstract = "This paper presents a method to get improved bounds for norms of exceptional v ' s in computing the group K2 OF where F is a quadratic imaginary field, and as an application we show that K2Z[(1 + √-43;)/2] = 1.",

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AB - This paper presents a method to get improved bounds for norms of exceptional v ' s in computing the group K2 OF where F is a quadratic imaginary field, and as an application we show that K2Z[(1 + √-43;)/2] = 1.

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KW - Quadratic imaginary field

KW - Tate method

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Computation of K₂ for the ring of integers of quadratic imaginary fields

Abstract

Keywords

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