Semilinear orderings for solvable and nilpotent groups
type: Item
instance of: scholarly article
title: Semilinear orderings for solvable and nilpotent groups
zbMATH Open document ID: 0797.20028
DOI: 10.1007/BF01978552
author: S. V. Varaksin
published in: Algebra and Logic
publication date: 1992-09-27T00:00:00Z
review text: Using results of S. A. Andeleke, M. A. E. Dummett and P. M. Neumann the author proves the following theorem: A free solvable group of arbitrary rank of solvability is orderable by a right semilinear order which is not linear. The other result of the paper is: Any semilinear right order on a locally nilpotent group is linear.
Mathematics Subject Classification ID: 20F16
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 20F18
Mathematics Subject Classification ID: 20F60
zbMATH DE Number: 59387
zbMATH Keywords: ordered group
zbMATH Keywords: free solvable group
zbMATH Keywords: right semilinear order
zbMATH Keywords: locally nilpotent group
reviewed by: J. Chvalina
MaRDI profile type: Publication
cites work: On a Question of Frege's about Right-Ordered Groups
cites work: Q3253828
cites work: Relatively convex subgroups of orderable groups
description: scientific article; zbMATH DE number 59387