The Profinite Hull of Special Groups and Local-Global Principles

被引：0
|
作者：
Hugo Luiz Mariano
Francisco Miraglia
机构：
[1] Universidade de São Paulo,Instituto de Matemática e Estatística
来源：
Studia Logica | 2011年 / 97卷
关键词：
Algebraic Theory of Quadratic Forms; Special Groups; Profinite Groups; Boolean Hull; Profinite Hull; Subform Reflection Property; Pure Embeddings; Local-Global Principles;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce the Profinite Hull functor of special groups, showing that it gives rise to a new (and strong) local-global principle, the subform reflection property. We also indicate applications of this principle to the abstract algebraic theory of quadratic forms.
引用
收藏
页码：127 / 160
页数：33
相关论文
共 50 条
  • [1] The Profinite Hull of Special Groups and Local-Global Principles
    Mariano, Hugo Luiz
    Miraglia, Francisco
    [J]. STUDIA LOGICA, 2011, 97 (01) : 127 - 160
  • [2] Local-global principles and linear algebraic groups
    Bayer-Fluckiger, E
    [J]. NUMBER THEORY: DIOPHANTINE, COMPUTATIONAL AND ALGEBRAIC ASPECTS, 1998, : 45 - 53
  • [3] ON REAL LOCAL-GLOBAL PRINCIPLES
    KRUSKEMPER, M
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1990, 204 (01) : 145 - 151
  • [4] Local-Global Principles for Constant Reductive Groups over Semi-Global Fields
    Colliot-Thelene, Jean-Louis
    Harbater, David
    Hartmann, Julia
    Krashen, Daniel
    Parimala, R.
    Suresh, V
    [J]. MICHIGAN MATHEMATICAL JOURNAL, 2022, 72 : 77 - 144
  • [5] Local-global principles for algebraic covers
    Debes, P
    Douai, JC
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 1998, 103 (1) : 237 - 257
  • [6] LOCAL-GLOBAL PRINCIPLES FOR THE BRAUER GROUP
    WIESEND, G
    [J]. MANUSCRIPTA MATHEMATICA, 1995, 86 (04) : 455 - 466
  • [7] Local-global principles for Galois cohomology
    Harbater, David
    Hartmann, Julia
    Krashen, Daniel
    [J]. COMMENTARII MATHEMATICI HELVETICI, 2014, 89 (01) : 215 - 253
  • [8] Local-global principles for algebraic covers
    Pierre Dèbes
    Jean-Claude Douai
    [J]. Israel Journal of Mathematics, 1998, 103 : 237 - 257
  • [9] LOCAL-GLOBAL PRINCIPLES FOR WITT RINGS
    EFRAT, I
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1993, 90 (02) : 153 - 166
  • [10] Local-global principles in circle packings
    Fuchs, Elena
    Stange, Katherine E.
    Zhang, Xin
    [J]. COMPOSITIO MATHEMATICA, 2019, 155 (06) : 1118 - 1170
12345