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Research Article | Open Access

Remarks on the K 2 group of Z [ ζ p ]

Daochang Zhang1, Chaochao Sun2( )
College of Sciences, Northeast Electric Power University, Jilin 132012, China
School of Mathematics and Statistics, Linyi University, Linyi 276005, China
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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.

Keywords

K2 groupHerbrand-Ribet theoremVandiver's conjecture
CLC number: 19C99, 19F15

References

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 5920-5924
DOI: 10.3934/math.2022329

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Cite this article:
Zhang D, Sun C. Remarks on the K 2 group of Z [ ζ p ]. AIMS Mathematics, 2022, 7(4): 5920-5924. https://doi.org/10.3934/math.2022329

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Received: 15 July 2021
Revised: 14 December 2021
Accepted: 27 December 2021
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)