NDLI: Tame kernels of pure cubic fields

Content Provider	Springer Nature Link
Author	Cheng, Xiao Yun
Copyright Year	2011
Abstract	In this paper, we study the p-rank of the tame kernels of pure cubic fields. In particular, we prove that for a fixed positive integer m, there exist infinitely many pure cubic fields whose 3-rank of the tame kernel equal to m. As an application, we determine the 3-rank of their tame kernels for some special pure cubic fields.
Ending Page	780
Page Count	10
Starting Page	771
File Format	PDF
ISSN	14398516
e-ISSN	14397617
Journal	Acta Mathematica Sinica, English Series
Issue Number	4
Volume Number	28
Language	English
Publisher	Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date	2011-09-01
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	3-rank Tame kernel $K$-theory of global fields Mathematics pure cubic fields class group
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Tame kernels of pure cubic fields