The Burnside problem for locally compact groups

Autor:	Dumont, Thibaut, Pillon, Thibault
Rok vydání:	2018
Předmět:	Mathematics - Group Theory Mathematics - Metric Geometry
Druh dokumentu:	Working Paper
Popis:	Using topological notions of translation-like actions introduced by Schneider, we give a positive answer to a geometric version of Burnside problem for locally compact group. The main theorem states that a locally compact group is non-compact if and only if it admits a translation-like action by the group of integers $\mathbf Z$. We then characterize the existence of cocompact translation-like actions of $\mathbf Z$ or non-abelian free groups on a large class of locally compact groups, improving on Schneider's results and generalising Seward's. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.11743 Zobrazit plný text záznamu View this record from Arxiv