Compact aspherical homogeneous spaces up to a finite covering
type: Item
instance of: scholarly article
title: Compact aspherical homogeneous spaces up to a finite covering
zbMATH Open document ID: 0535.57024
DOI: 10.1007/BF02329735
author: V. V. Gorbatsevich
published in: Annals of Global Analysis and Geometry
publication date: 1983-01-01T00:00:00Z
review text: In this paper, the topological structure of compact aspherical homogeneous spaces M is investigated. This structure is determined uniquely up to a finite covering by the fundamental group \(\pi_ 1(M)\). Some properties of \(\pi_ 1(M)\) and a characterization of all groups, which are commensurable with \(\pi_ 1(M)\) for compact aspherical homogeneous spaces M, are given.
reviewed by: G.M.Rassias
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 57M10
Mathematics Subject Classification ID: 55P20
zbMATH DE Number: 3850113
zbMATH Keywords: lattice in a Lie group
zbMATH Keywords: compact aspherical homogeneous spaces
zbMATH Keywords: finite covering
zbMATH Keywords: fundamental group
MaRDI profile type: Publication
cites work: Flows on Homogeneous Spaces. (AM-53)
cites work: An exposition of the structure of solvmanifolds. Part I: Algebraic theory
cites work: On the fundamental group of a homogeneous space
cites work: Q5669004
description: scientific article; zbMATH DE number 3850113