Order separability of HNN-extensions and free products with commutative subgroups

2010/07/19 by Vladimir V. Yedynak, Yedynak, Vladimir V.
Computer Science · Mathematics · #20E06 #20E26 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #msc:20E06 #msc:20E26 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1007.3117

13 pages

openalex publication_date 2010/07/19 · arxiv created 2010/07/20 · arxiv updated 2010/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the investigation of the property of order separability for HNN extensions and free products with commutative subgroups. Particularly it was proven that HNN extension of a free group with maximal connected cyclic subgroups is 2-order separable.

Citations

• Order separability of free product of free groups with cyclic amalgamation

Related

• Order separability of free product of free groups with cyclic amalgamation
• Order separability
• Generalization of order separability for free products and omnipotence of free products of groups
• Generalization of order separability for free groups
• Multielement order separability in free products of groups