On the profinite topology on solvable groups

DOI10.1515/jgth-2016-0048zbMath1387.20026OpenAlexW2530414172MaRDI QIDQ2360387

Khadijeh Alibabaei

Publication date: 3 July 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2016-0048

zbMATH Keywords

wreath productsprofinite topologyabelian-by-polycyclic groupslocally extended residual finiteness

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strictly ascending HNN extensions in soluble groups.
• Finitely presented wreath products and double coset decompositions.
• On groups whose subgroups are closed in the profinite topology.
• Finite separability of groups and Lie algebras
• An application of universal algebra in group theory
• Integral group rings of polycyclic-by-finite groups
• Residual Properties of Infinite Soluble Groups
• Some two-generator one-relator non-Hopfian groups
• Lectures on Finitely Generated Solvable Groups
• Varieties of groups
• A topology for free groups and related groups

This page was built for publication: On the profinite topology on solvable groups