Abstract Commensurators of Solvable Baumslag–Solitar Groups

DOI10.1080/00927872.2011.580440zbMath1263.20038arXiv1012.4127OpenAlexW2051304539MaRDI QIDQ2904703

O. V. Bogopol'skij

Publication date: 23 August 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4127

zbMATH Keywords

automorphismsquasi-isometriesBaumslag-Solitar groupsabstract commensuratorsisomorphisms between subgroups of finite index

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (4)

The abstract commensurator of Baumslag-Solitar groups. ⋮ The BNS invariants of the generalized solvable Baumslag-Solitar groups and of their finite index subgroups ⋮ A small doubling structure theorem in a Baumslag-Solitar group ⋮ Twisted conjugacy and commensurability invariance

Cites Work

• Subgroups of finite index in Baumslag-Solitar groups.
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Introduction to group theory. Translated from the Russian. With a new chapter.
• On abstract commensurators of groups
• Some two-generator one-relator non-Hopfian groups
• The Automorphism Towers of Some One-Relator Groups
• Subgroup growth of Baumslag–Solitar groups
• The large scale geometry of the higher Baumslag-Solitar groups

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