Remarks on the $ K_2 $ group of $ \mathbb{Z}[\zeta_p] $

Daochang Zhang; Chaochao Sun; Daochang Zhang; Chaochao Sun

doi:10.3934/math.2022329

AIMS Mathematics

2022, Volume 7, Issue 4: 5920-5924. doi: 10.3934/math.2022329

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Remarks on the $ K_2 $ group of $ \mathbb{Z}[\zeta_p] $

Daochang Zhang ¹,
Chaochao Sun ^{2
,
,}

1.
College of Sciences, Northeast Electric Power University, Jilin 132012, China
2.
School of Mathematics and Statistics, Linyi University, Linyi 276005, China

Received: 15 July 2021 Revised: 14 December 2021 Accepted: 27 December 2021 Published: 12 January 2022
MSC : 19C99, 19F15

In this paper, our aim is to obtain the $ K_2 $ analogues of both the Herbrand-Ribet theorem and the Vandiver's conjecture.
- $ K_2 $ group,
- Herbrand-Ribet theorem,
- Vandiver's conjecture
Citation: Daochang Zhang, Chaochao Sun. Remarks on the $ K_2 $ group of $ \mathbb{Z}[\zeta_p] $[J]. AIMS Mathematics, 2022, 7(4): 5920-5924. doi: 10.3934/math.2022329

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Abstract

In this paper, our aim is to obtain the $ K_2 $ analogues of both the Herbrand-Ribet theorem and the Vandiver's conjecture.

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