On the residual solvability of generalized free products of finitely generated nilpotent groups

2005/10/21 by Delaram Kahrobaei, D. Kahrobaei, Kahrobaei, D.
Mathematics · Social Sciences · #20F19 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Japanese History and Culture #math.GR #msc:20F19

paper · pdf · doi:10.48550/arxiv.math/0510465

19 pages

arxiv created 2005/10/21 · openalex publication_date 2005/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the residual solvability of the generalized free product of finitely generated nilpotent groups. We show that these kinds of structures are often residually solvable.

Related

• On the residual solvability of generalized free products of solvable groups
• The Amalgamated product of free groups and residual solvability
• On the residual nilpotence of generalized free products of groups
• Non-linear, solvable, residually p groups
• On root-class residuality of generalized free products