tame kernels
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The Shortest Vector Problem and Tame Kernels of Cyclotomic Fields

Journal of Number Theory ◽

10.1016/j.jnt.2021.03.022 ◽

2021 ◽

Author(s):

Zhang Long ◽

Xu Kejian ◽

Dai Zhaopeng ◽

Sun Chaochao

Keyword(s):

Cyclotomic Fields ◽

Vector Problem ◽

Shortest Vector Problem ◽

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On the tame kernels of imaginary cyclic quartic fields with class number one

Journal of Number Theory ◽

10.1016/j.jnt.2019.02.005 ◽

2019 ◽

Vol 201 ◽

pp. 377-397

Author(s):

Long Zhang ◽

Kejian Xu

Keyword(s):

Class Number ◽

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On Orders of Tame Kernels in Quaternion Extension of Number Fields

Mathematical Lectures from Peking University - The Computational and Theoretical Aspects of Elliptic Curves ◽

10.1007/978-981-13-6664-2_8 ◽

2019 ◽

pp. 89-95

Author(s):

Haiyan Zhou

Keyword(s):

Number Fields ◽

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Tame kernels of cubic and sextic fields

Journal of Number Theory ◽

10.1016/j.jnt.2018.01.020 ◽

2018 ◽

Vol 190 ◽

pp. 277-291

Author(s):

Haiyan Zhou ◽

Zhibin Liang

Keyword(s):

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The p-Rank of Tame Kernels of Pure Quintic Fields

Algebra Colloquium ◽

10.1142/s1005386718000196 ◽

2018 ◽

Vol 25 (02) ◽

pp. 277-284

Author(s):

Yuanyuan Li ◽

Haiyan Zhou ◽

Fei Deng ◽

Xia Wu

Keyword(s):

Prime Number ◽

Special Cases ◽

Reflection Theorem ◽

Let F be a pure quintic field. In this paper, we present some results for the p-rank of K2𝒪F, where p is an odd prime number. In particular, the 5-rank of K2𝒪F is studied by the reflection theorem. Some explicit results on the 5-rank of K2𝒪F are given in some special cases.

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On tame kernels and second regulators of number fields and their subfields

Journal of Number Theory ◽

10.1016/j.jnt.2016.07.009 ◽

2017 ◽

Vol 171 ◽

pp. 252-274 ◽

Author(s):

Chaochao Sun ◽

Kejian Xu

Keyword(s):

Number Fields ◽

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On the 2-primary part of tame kernels of real quadratic fields

Acta Mathematica Sinica English Series ◽

10.1007/s10114-016-5053-y ◽

2016 ◽

Vol 32 (7) ◽

pp. 807-812

Author(s):

Xiao Yun Cheng ◽

Xue Jun Guo

Keyword(s):

Quadratic Fields ◽

Real Quadratic Fields ◽

Tame Kernels ◽

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On the splitting of the exact sequence, relating the wild and tame kernels

Journal of Pure and Applied Algebra ◽

10.1016/j.jpaa.2014.12.018 ◽

2015 ◽

Vol 219 (9) ◽

pp. 3701-3720

Author(s):

Luca Caputo ◽

Abbas Movahhedi

Keyword(s):

Exact Sequence ◽

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Tame kernels of non-abelian Galois extensions of number fields of degree $q^3$

Functiones et Approximatio Commentarii Mathematici ◽

10.7169/facm/2014.51.2.6 ◽

2014 ◽

Vol 51 (2) ◽

pp. 335-345

Author(s):

Qianqian Cui ◽

Haiyan Zhou

Keyword(s):

Number Fields ◽

Galois Extensions ◽

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Tame Kernels of Quaternion Number Fields

Communications in Algebra ◽

10.1080/00927872.2012.762926 ◽

2014 ◽

Vol 42 (6) ◽

pp. 2496-2501 ◽

Author(s):

Haiyan Zhou ◽

Wenzhu Xie

Keyword(s):

Number Fields ◽

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