On the Continuity of the Centralizer Map of a Locally Compact Group

被引：0

作者：

Hamrouni, Hatem ^{[1
]}

Sadki, Firas ^{[1
]}

机构：

[1] Sfax Univ, Fac Sci Sfax, Dept Math, BP 1171, Sfax 3000, Tunisia

来源：

JOURNAL OF LIE THEORY | 2016年 / 26卷 / 01期

关键词：

Locally compact group; centralizer; profinite group; quasidiscrete group; Frattini subgroup; one-parameter subgroup; p-adic Lie group; Chabauty topology;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a locally compact group. We denote by SUB(G) the hyperspace of closed subgroups of G endowed with the Chabauty topology. In this article we study the continuity of the following map Cent(G): G -> SUB(G), g bar right arrow Cent(G)(g), where CentG(g) is the centralizer of g in G.

引用

页码：117 / 134

页数：18

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