The intersection of the subgroups of finite index in Baumslag-Solitar groups.

DOI10.1134/S0001434610010116zbMath1204.20041OpenAlexW2091048392MaRDI QIDQ1957017

D. I. Moldavanskii

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610010116

zbMATH Keywords

subgroups of finite indexHNN-extensionsone-relator groupsBaumslag-Solitar groupsamalgamated productsnormal closuresresidual finiteness

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Related Items (7)

The root class residuality of Baumslag-Solitar groups ⋮ On the residual properties of Baumslag–Solitar groups ⋮ Unnamed Item ⋮ On residual nilpotence of group extensions ⋮ Baumslag–Solitar groups and residual nilpotence ⋮ Lower central series of Baumslag-Solitar groups ⋮ Acylindrical hyperbolicity, non-simplicity and SQ-universality of groups splitting over \(\mathbb{Z}\)

Cites Work

• Residual finiteness of descending HNN-extensions of groups
• Some two-generator one-relator non-Hopfian groups
• The Intersection of the Subgroups of Finite Index in Some Finitely Presented Groups
• Nonresidually Finite One-Relator Groups

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