A translation of A.A.Vinogradov's "On the free product of ordered groups"

2017/03/16 by Victoria Lebed, Lebed, Victoria, Arnaud Mortier +1
Engineering · Mathematics · #20-0X #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems #math.GR #msc:20-0X

paper · pdf · doi:10.48550/arxiv.1703.05781

6 pages

arxiv created 2017/03/16 · openalex publication_date 2017/03/16 · arxiv updated 2017/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a translation from Russian of the article by A.A.Vinogradov: On the free product of ordered groups, Mat. Sb. (N.S.), 1949, Volume 25(67), Number 1, 163-168. The main result is that the free product of two ordered groups is orderable. Minor corrections were made and highlighted in footnotes.

Related

• Order separability
• Free Products of digroups
• Generalization of order separability for free groups
• A translation of G. S. Makanin's 1966 Ph.D. thesis "On the Identity Problem for Finitely Presented Groups and Semigroups"
• The theorems on freedom for free products with a relations