A Note on Number Knots and the Splitting of the Hilbert Class Field

被引：0

作者：

Yu, Yih-Jeng ^{[1
]}

机构：

[1] Natl Chengchi Univ, Dept Math Sci, Taipei 11605, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2020年 / 24卷 / 02期

关键词：

number knots; Hilbert class field; abelian genus; central genus; COHOMOLOGICAL CHARACTERIZATION; CAPITULATION;

D O I：

10.11650/tjm/190703

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several number knots are defined including the five knots introduced by W. Jehne. The question of the splitting of the group extension of the Hilbert class field can be read off in terms of the triviality of these knots.

引用

页码：283 / 300

页数：18

共 20 条

[1] SOME RESULTS ON THE CAPITULATION PROBLEM
BOND, RJ
[J]. JOURNAL OF NUMBER THEORY, 1981, 13 (02) : 246 - 254
[2] ON THE SPLITTING OF THE HILBERT CLASS FIELD
BOND, RJ
[J]. JOURNAL OF NUMBER THEORY, 1992, 42 (03) : 349 - 360
[3] Capitulation in abelian extensions of number fields
Bond, Robert J.
[J]. ACTA ARITHMETICA, 2017, 179 (03) : 201 - 232
[4] Cassels JWS, 1967, ALGEBRAIC NUMBER THE
[5] A NOTE ON THE SPLITTING OF THE HILBERT CLASS FIELD
CORNELL, G
ROSEN, M
[J]. JOURNAL OF NUMBER THEORY, 1988, 28 (02) : 152 - 158
[6] HILBERT CLASS FIELDS AND SPLIT EXTENSIONS
GOLD, R
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1977, 21 (01) : 66 - 69
[7] Hasse H, 1930, J REINE ANGEW MATH, V162, P145
[8] Heider F.-P., 1978, THESIS
[9] NUMBER-THEORY KNOTS OF INFINITE EXPANSIONS
HEIDER, FP
[J]. ARCHIV DER MATHEMATIK, 1981, 37 (04) : 341 - 352
[10] Herz C. S., 1966, LECT NOTES MATH, P71

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