The root system of prime subgroups of a free lattice-ordered group (without G.C.H.)
type: Item
instance of: scholarly article
title: The root system of prime subgroups of a free lattice-ordered group (without G.C.H.)
zbMATH Open document ID: 0702.06007
DOI: 10.1007/BF00563530
author: Manfred Droste
author: Stephen H. McCleary
published in: Order
publication date: 1989-01-01T00:00:00Z
review text: For the free lattice-ordered group \(F_{\eta}\) of rank \(\eta\), the root system \({\mathcal P}_{\eta}\) of prime subgroups has been described in considerable detail by the second author [Trans. Am. Math. Soc. 290, 81- 100 (1985; Zbl 0546.06014)] for \(\eta \leq \omega_ 0\) and (with GCH) for regular \(\eta >\omega_ 0\). This work is a revision of that description. It is proved that almost all of this description is obtained without GCH, and most of it without regularity.
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 03E50
zbMATH DE Number: 4150239
zbMATH Keywords: free lattice-ordered group
zbMATH Keywords: root system
zbMATH Keywords: prime subgroups
MaRDI profile type: Publication
cites work: Q3852172
cites work: Free Lattice-Ordered Groups Represented as o-2 Transitive l-Permutation Groups
cites work: An Even Better Representation for Free Lattice-Ordered Groups
cites work: Q3949052
full work available at URL: https://doi.org/10.1007/bf00563530
OpenAlex ID: W1986810903
description: scientific article; zbMATH DE number 4150239