REDUCED WHITEHEAD GROUPS OF PRIME EXPONENT ALGEBRAS OVER p-ADIC CURVES

被引：0

作者：

Bhaskhar, Nivedita ^{[1
]}

机构：

[1] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

DOCUMENTA MATHEMATICA | 2021年 / 26卷

关键词：

Reduced Whitehead groups; Tannaka-Artin problem; patching; SK1; function fields of p-adic curves; LOCAL-GLOBAL PRINCIPLES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be the function field of a curve over a p-adic field. Let D/F be a central division algebra of prime exponent l which is different from p. Assume that F contains a primitive l(2th) root of unity. Then the abstract group SK1(D) := SL1(D)/[D*, D*] is trivial.

引用

页码：337 / 413

页数：77

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