A conjecture on a class of elements of finite order in K2F

被引：7

作者：

Xu, KJ ^{[1
]}

Qin, HR

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Qingdao Univ, Dept Math, Qingdao 266071, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2001年 / 44卷 / 04期

基金：

中国国家自然科学基金;

关键词：

K-2; group; local field; tame symbol; Hilbert symbol;

D O I：

10.1007/BF02881885

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a local field F the finite subgroups of K, F are expressed by a class of special elements of finite order, which makes a famous theorem built by Moore, Carroll, Tate and Merkurjev more explicit and also disproves a conjecture posed by Browkin.

引用

页码：484 / 490

页数：7

共 16 条

[1]

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[2]

CARROLL JE, 1973, LECT NOTES MATH, V342, P464

[3]

IWASAWA K, 1986, LOCAL CLASS FIELD TH, P27

[4] ON THE TORSION IN K2 OF LOCAL-FIELDS [J].

MERKURJEV, AS .

ANNALS OF MATHEMATICS, 1983, 118 (02) :375-381

[5]

MOORE C, 1969, PUBL MATH-PARIS, V35, P5

[6]

NEUKIRCH J, 1986, CLASS FIELD THEORY, P50

[7]

QIN H, 1993, SCI CHINA SER A, V23, P1254

[8]

Qin H. R., 1994, CHINESE SCI BULL, V38, P2227

[9]

QIN HR, 1995, ACTA ARITH, V69, P153

[10]

QIN HR, 1995, ACTA ARITH, V72, P323

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