SHALOM'S PROPERTY HFD AND EXTENSIONS BY Z OF LOCALLY FINITE GROUPS

被引：4

作者：

Brieussel, Jeremie ^{[1
]}

Zheng, Tianyi ^{[2
]}

机构：

[1] Univ Montpellier, Inst Montpellierain Alexander Grothendieck, F-34095 Montpellier, France

[2] Univ Calif San Diego, Dept Math, 9500 Gilman Dr, La Jolla, CA 92093 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2019年 / 230卷 / 01期

关键词：

COHOMOLOGY;

D O I：

10.1007/s11856-018-1818-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that every finitely generated extension by Z of a locally normally finite group has Shalom's property HFD. The statement is no longer true without the normality assumption. This permits to answer some questions of Shalom, Erschler-Ozawa and Kozma. We also obtain a Neumann-Neumann embedding result that any countable locally finite group embeds into a two-generated amenable group with property H-FD.

引用

页码：45 / 70

页数：26

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