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.
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页码：337 / 413
页数：77
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