ON TORSION IN FACTORS OF POLYNILPOTENT SERIES OF A GROUP WITH A SINGLE RELATION

DOI10.1142/S021819670400189XzbMath1062.20038OpenAlexW1974491064MaRDI QIDQ4824704

N. S. Romanovskii, Chander Kanta Gupta

Publication date: 1 November 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819670400189x

zbMATH Keywords

one-relator groupslower central seriestorsion-free factorsMagnus embeddingsprimitive relationspolynilpotent series

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Examples of finitely generated metabelian groups not residually finite with respect to conjugacy and occurrence, and representation of groups of the form \(F/R'\gamma_m(F) \) ⋮ Verbally closed subgroups of free solvable groups ⋮ Retracts and verbally closed subgroups with respect to relatively free soluble groups

Cites Work

• On pro-\(p\)-groups with a single defining relator
• Elements of finite order in groups with a single defining relation

This page was built for publication: ON TORSION IN FACTORS OF POLYNILPOTENT SERIES OF A GROUP WITH A SINGLE RELATION