Subgroups of direct products of limit groups

If $G_1,...,G_n$ are limit groups and $S\subset G_1\times...\times G_n$ is of type $\FP_n(\mathbb Q)$ then $S$ contains a subgroup of finite index that is itself a direct product of at most $n$ limit groups. This settles a question of Sela.

Bibliografiske detaljer
Main Authors:	Bridson, MR, Howie, J, Iii, C, Short, H
Format:	Journal article
Udgivet:	2007

Lignende værker

Subgroups of direct products of limit groups
af: Bridson, M, et al.
Udgivet: (2009)

Subgroups of direct products of two limit groups
af: Bridson, MR, et al.
Udgivet: (2007)

Subgroups of direct products of two limit groups
af: Bridson, M, et al.
Udgivet: (2005)

The subgroups of direct products of surface groups
af: Bridson, M, et al.
Udgivet: (2002)

Subgroups of direct products of elementarily free groups
af: Bridson, M, et al.
Udgivet: (2005)

Recognition of subgroups of direct products of hyperbolic groups
af: Bridson, M, et al.
Udgivet: (2004)

On the finite presentation of subdirect products and the nature of residually free groups
af: Bridson, M, et al.
Udgivet: (2012)

Binary subgroups of direct products
af: Bridson, M
Udgivet: (2023)

Normalisers in Limit Groups
af: Bridson, M, et al.
Udgivet: (2005)

Finitely presented subgroups of automatic groups and their isoperimetric functions
af: Baumslag, G, et al.
Udgivet: (1997)

Subgroup separability in residually free groups
af: Bridson, M, et al.
Udgivet: (2007)

On the Subgroups of Right Angled Artin Groups and Mapping Class Groups
af: Bridson, M
Udgivet: (2012)

Complete embeddings of groups
af: Bridson, MR, et al.
Udgivet: (2024)

Direct products of free groups in Aut(F_N)
af: Bridson, MR, et al.
Udgivet: (2024)

Structure and finiteness properties of subdirect products of groups
af: Bridson, M, et al.
Udgivet: (2007)

The Chabauty space of closed subgroups of the three-dimensional Heisenberg group
af: Bridson, M, et al.
Udgivet: (2007)

Conjugacy of Finite Subsets in Hyperbolic Groups.
af: Bridson, M, et al.
Udgivet: (2005)

Combings of semidirect products and 3-manifold groups
af: Bridson, MR
Udgivet: (1993)

Mathematical script capital V ℋ complexes, towers and subgroups of F × F
af: Bridson, MR, et al.
Udgivet: (1999)

Fractional isoperimetric inequalities and subgroup distortion
af: Bridson, M
Udgivet: (1999)

The number of subgroups of a direct product of cyclic p-groups
af: Chew, Chun Yong, et al.
Udgivet: (2018)

Finiteness properties for subgroups of GL(n, Z)
af: Bridson, M
Udgivet: (2000)

REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS
af: Bridson, M
Udgivet: (1993)

On the growth of groups and automorphisms
af: Bridson, MR
Udgivet: (2005)

On subgroups product graph of finite groups
af: Abd Shakir Jawad, et al.
Udgivet: (2024-01-01)

Commensurations of Aut(F_N) and its Torelli subgroup
af: Bridson, M, et al.
Udgivet: (2024)

The Derived Subgroups of Sylow 2-Subgroups of the Alternating Group, Commutator Width of Wreath Product of Groups
af: Ruslan V. Skuratovskii
Udgivet: (2020-03-01)

Maximal Subgroup Containment in Direct Products
af: Ben Brewster, et al.
Udgivet: (2016-06-01)

ON SUBGROUPS OF ALMOST AMALGAMATED FREE PRODUCT TWO GROUPS WITH FINITE AMALGAMATED SUBGROUP
af: A.P. Goryushkin
Udgivet: (2012-06-01)

Limit groups, positive-genus towers and measure equivalence
af: Bridson, M, et al.
Udgivet: (2005)

The homology of groups, profinite completions, and echoes of Gilbert Baumslag
af: Bridson, MR
Udgivet: (2020)

Profinite completions of free-by-free groups contain everything
af: Bridson, MR
Udgivet: (2024)

Non-positive curvature and complexity for finitely presented groups
af: Bridson, MR
Udgivet: (2006)

On σ-subnormal subgroups and products of finite groups
af: A. A. Heliel, et al.
Udgivet: (2023-01-01)

Concise presentations of direct products
af: Bridson, M
Udgivet: (2022)

Gradients of sequences of subgroups in a direct product
af: Nikolov, N, et al.
Udgivet: (2017)

SUBGROUPS OF INFINITE SYMMETRICAL GROUPS
af: Macpherson, H, et al.
Udgivet: (1990)

The Number of Chains of Subgroups in the Lattice of Subgroups of the Dicyclic Group
af: Ju-Mok Oh, et al.
Udgivet: (2012-01-01)

The maximal subgroups of Sylow subgroups and the structure of finite groups
af: Changwen Li, et al.
Udgivet: (2019-01-01)

Subgroups of quantum groups
af: Christodoulou, G
Udgivet: (2015)