The tame kernel of $\mathbb {Q}(\zeta _{5})$ is trivial
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- by Long Zhang and Kejian Xu PDF
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Abstract:
In this paper, we prove that the tame kernel of the cyclotomic field $\mathbb {Q}(\zeta _5)$ is trivial, which confirms a conjecture of Browkin.References
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Additional Information
- Long Zhang
- Affiliation: School of Mathematics, Jilin University, Changchun, China 130012 โ and โ College of Mathematics, Qingdao University, Qingdao, China 266071
- Email: zhanglong_note@hotmail.com
- Kejian Xu
- Affiliation: College of Mathematics, Qingdao University, Qingdao, China 266071
- Email: kejianxu@amss.ac.cn
- Received by editor(s): September 4, 2014
- Received by editor(s) in revised form: October 9, 2014, and October 21, 2014
- Published electronically: August 11, 2015
- Additional Notes: This research was supported by National Natural Science Foundation of China (No. 10871106).
- © Copyright 2015 American Mathematical Society
- Journal: Math. Comp. 85 (2016), 1523-1538
- MSC (2010): Primary 19C99, 19F15
- DOI: https://doi.org/10.1090/mcom/3003
- MathSciNet review: 3454374