Subgroup separability in residually free groups

Subgroup separability in residually free groups

We prove that the finitely presentable subgroups of residually free groups are separable and that the subgroups of type $\mathrm{FP}_\infty$ are virtual retracts. We describe a uniform solution to the membership problem for finitely presentable subgroups of residually free groups.

Bibliografski detalji
Glavni autori:	Bridson, M, Wilton, H
Format:	Journal article
Jezik:	English
Izdano:	2007

Slični predmeti

Subgroups of direct products of elementarily free groups
od: Bridson, M, i dr.
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The isomorphism problem for profinite completions of residually finite groups
od: Bridson, M, i dr.
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On the Subgroups of Right Angled Artin Groups and Mapping Class Groups
od: Bridson, M
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Subgroups of direct products of limit groups
od: Bridson, M, i dr.
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Recognition of subgroups of direct products of hyperbolic groups
od: Bridson, M, i dr.
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Subgroups of direct products of two limit groups
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Volume gradients and homology in towers of residually-free groups
od: Bridson, M, i dr.
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The subgroups of direct products of surface groups
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On Residual Separability of Subgroups in Split Extensions
od: A. A. Krjazheva
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Subgroups of direct products of limit groups
od: Bridson, MR, i dr.
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Subgroups of direct products of two limit groups
od: Bridson, MR, i dr.
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Volume gradients and homology in towers of residually-free groups
od: Bridson, MR, i dr.
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Near Frattini subgroups of residually finite generalized free products of groups
od: Mohammad K. Azarian
Izdano: (2001-01-01)

On the finite presentation of subdirect products and the nature of residually free groups
od: Bridson, M, i dr.
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Finitely presented subgroups of automatic groups and their isoperimetric functions
od: Baumslag, G, i dr.
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The Chabauty space of closed subgroups of the three-dimensional Heisenberg group
od: Bridson, M, i dr.
Izdano: (2007)

Binary subgroups of direct products
od: Bridson, M
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Fractional isoperimetric inequalities and subgroup distortion
od: Bridson, M
Izdano: (1999)

On the difficulty of presenting finitely presentable groups
od: Bridson, M, i dr.
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Finiteness properties for subgroups of GL(n, Z)
od: Bridson, M
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Profinite rigidity and free groups
od: Bridson, M
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Abelian subgroup separability of some one-relator groups
od: D. Tieudjo
Izdano: (2005-01-01)

Automorphisms of automorphism groups of free groups
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REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS
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ON SUBGROUPS OF ALMOST AMALGAMATED FREE PRODUCT TWO GROUPS WITH FINITE AMALGAMATED SUBGROUP
od: A.P. Goryushkin
Izdano: (2012-06-01)

OPTIMAL ISOPERIMETRIC-INEQUALITIES FOR ABELIAN-BY-FREE GROUPS
od: Bridson, M
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On <i>σ</i>-Residuals of Subgroups of Finite Soluble Groups
od: A. A. Heliel, i dr.
Izdano: (2023-05-01)

Limit groups, positive-genus towers and measure equivalence
od: Bridson, M, i dr.
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Mapping class groups and outer automorphism groups of free groups are C*-simple
od: Bridson, M, i dr.
Izdano: (2003)

Commensurations of Aut(F_N) and its Torelli subgroup
od: Bridson, M, i dr.
Izdano: (2024)

On some groups whose subnormal subgroups are contranormal-free
od: Leonid Kurdachenko, i dr.
Izdano: (2024-05-01)

A note on quantum subgroups of free quantum groups
od: Hoshino, Mao, i dr.
Izdano: (2024-11-01)

On the lattice of subgroups of a free group: complements and rank
od: Jordi Delgado, i dr.
Izdano: (2020-03-01)

Actions of automorphism groups of free groups on homology spheres and acyclic manifolds
od: Bridson, M, i dr.
Izdano: (2008)

On free subgroups of finite exponent in circle groups of free nilpotent algebras
od: Juliane Hansmann
Izdano: (2019-06-01)

Subgroup Separability of Certain HNN Extensions of Finitely Generated Abelian Groups
od: Wong, P.C.
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Actions of higher-rank lattices on free groups
od: Bridson, M, i dr.
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