On the profinite topology on negatively curved groups

DOI10.1006/jabr.1998.7847zbMath0937.20022OpenAlexW2157187135MaRDI QIDQ1306829

Rita Gitik

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7847

zbMATH Keywords

negatively curved groupssubgroups of finite indexquasiconvex subgroupsfinitely generated subgroupsLERF groupslocally extended residually finite groupsCayley graphsfundamental groupshyperbolic groupsprofinite topologymalnormal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (5)

Separable subsets of GFERF negatively curved groups. ⋮ Dynamics of implicit operations and tameness of pseudovarieties of groups ⋮ Every decidable pseudovariety of abelian groups is completely tame ⋮ The pseudovariety of all nilpotent groups is tame ⋮ On the Kurosh theorem and separability properties

Cites Work

• Unnamed Item
• Separability properties of free groups and surface groups
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Ping-pong on negatively curved groups
• On quasiconvex subgroups of negatively curved groups
• Subgroups of Surface Groups are Almost Geometric
• ON SEPARABILITY PROPERTIES OF GROUPS

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