Free products of groups with bi-invariant metrics

被引：0
|
作者：
Singhof, Wilhelm [1 ]
机构：
[1] Univ Dusseldorf, Math Inst, D-40225 Dusseldorf, Germany
来源：
TOPOLOGY AND ITS APPLICATIONS | 2015年 / 187卷
关键词：
Free products; Bi-invariant metrics; Universal properties;
D O I：
10.1016/j.topol.2015.02.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a family of groups G(lambda) which are equipped with hi-invariant metrics, we construct, in a very explicit manner, a bi-invariant metric on the free product of the G(lambda). The universal properties of this construction are investigated and some open questions are formulated. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：75 / 81
页数：7
相关论文
共 50 条
  • [21] Finite index subgroups in Chevalley groups are bounded: An addendum to "On Bi-Invariant Word Metrics"
    Gal, Swiatoslaw R.
    Kedra, Jarek
    Trost, Alexander A.
    JOURNAL OF TOPOLOGY AND ANALYSIS, 2025, 17 (01) : 167 - 174
  • [22] Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups
    Deng, Shaoqiang
    Hou, Zixin
    GEOMETRIAE DEDICATA, 2008, 136 (01) : 191 - 201
  • [23] THE CANCELLATION NORM AND THE GEOMETRY OF BI-INVARIANT WORD METRICS
    Brandenbursky, Michael
    Gal, Swiatoslaw R.
    Kedra, Jarek
    Marcinkowski, Michal
    GLASGOW MATHEMATICAL JOURNAL, 2016, 58 (01) : 153 - 176
  • [24] Positive definite Minkowski Lie algebras and bi-invariant Finsler metrics on Lie groups
    Shaoqiang Deng
    Zixin Hou
    Geometriae Dedicata, 2008, 136
  • [25] BI-INVARIANT DIFFERENTIAL OPERATORS ON LIE GROUPS
    DUFLO, M
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1977, 10 (02): : 265 - 288
  • [26] Relative geodesics in bi-invariant Lie groups
    Zhang, E.
    Noakes, L.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2201):
  • [27] Isometric models for separable groups with a bi-invariant metric
    Polanski, Artur
    TOPOLOGY AND ITS APPLICATIONS, 2021, 289
  • [28] BI-INVARIANT PSEUDO-LOCAL OPERATORS ON LIE GROUPS
    ROTHSCHILD, LP
    PACIFIC JOURNAL OF MATHEMATICS, 1972, 43 (02) : 503 - 510
  • [29] Bi-Invariant Dissimilarity Measures for Sample Distributions in Lie Groups
    Hanik, Martin
    Hege, Hans-Christian
    von Tycowicz, Christoph
    SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE, 2022, 4 (04): : 1223 - 1249
  • [30] LP ESTIMATES FOR BI-INVARIANT OPERATORS ON COMPACT LIE GROUPS
    WEISS, NJ
    AMERICAN JOURNAL OF MATHEMATICS, 1972, 94 (01) : 103 - &
12345