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
收藏
页码：337 / 413
页数：77
相关论文
共 50 条
  • [31] Parameters of Hecke algebras for Bernstein components of p-adic groups
    Solleveld, Maarten
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2025, 36 (01): : 124 - 170
  • [32] COHOMOLOGY GROUPS OF MAXIMAL ORDERS OF P-ADIC SIMPLE ALGEBRAS
    KUNIYOSHI, H
    DUKE MATHEMATICAL JOURNAL, 1960, 27 (03) : 387 - 396
  • [33] Simple p-adic Lie groups with abelian Lie algebras
    Caprace, Pierre-Emmanuel
    Minasyan, Ashot
    Osin, Denis
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2024, 2024 (812): : 229 - 256
  • [34] Iwahori-Hecke algebras for p-adic loop groups
    Braverman, Alexander
    Kazhdan, David
    Patnaik, Manish M.
    INVENTIONES MATHEMATICAE, 2016, 204 (02) : 347 - 442
  • [35] LOCAL SECTIONS OF ARITHMETIC FUNDAMENTAL GROUPS OF p-ADIC CURVES
    Saidi, Mohamed
    NAGOYA MATHEMATICAL JOURNAL, 2024, 254 : 462 - 487
  • [36] ON ETALE FUNDAMENTAL GROUPS OF FORMAL FIBRES OF p-ADIC CURVES
    Saidi, Mohamed
    TOHOKU MATHEMATICAL JOURNAL, 2020, 72 (01) : 63 - 76
  • [37] Algebraic monodromy groups of vector bundles on p-adic curves
    Kasprowitz, Ralf
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2013, 681 : 83 - 99
  • [38] Elliptic Curves Discrete Logarithm Problem over a Finite Prime Field Fp and p-adic Approximations
    Leprevost, Franck
    Bernard, Nicolas
    Bouvry, Pascal
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON APPLICATIONS IN INFORMATION TECHNOLOGY (ICAIT - 2018), 2018, : 9 - 15
  • [39] Quantum p-adic spaces and quantum p-adic groups
    Soibelman, Yan
    IN MEMORY OF ALEXANDER REZNIKOV, 2008, 265 : 697 - 719
  • [40] Local-global principle for reduced norms over function fields of p-adic curves
    Parimala, R.
    Preeti, R.
    Suresh, V.
    COMPOSITIO MATHEMATICA, 2018, 154 (02) : 410 - 458
12345