Direct factors of profinite completions and decidability

Direct factors of profinite completions and decidability

We consider finitely presented,residually finite groups $G$ and finitely generated normal subgroups $A$ such that the inclusion $A\hookrightarrow G$ induces an isomorphism from the profinite completion of $A$ to a direct factor of the profinite completion of $G$. We explain why $A$ need not be a dir...

Полное описание

Библиографические подробности
Главный автор:	Bridson, M
Формат:	Journal article
Язык:	English
Опубликовано:	2008

Схожие документы

The Schur multiplier, profinite completions and decidability
по: Bridson, M
Опубликовано: (2009)

Decision problems and profinite completions of groups
по: Bridson, M
Опубликовано: (2008)

Direct products and profinite completions
по: Nikolov, N, и др.
Опубликовано: (2007)

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

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

Grothendieck's problems concerning profinite completions and representations of groups
по: Bridson, M, и др.
Опубликовано: (2004)

The isomorphism problem for profinite completions of residually finite groups
по: Bridson, M, и др.
Опубликовано: (2014)

Profinite rigidity and free groups
по: Bridson, M
Опубликовано: (2023)

Profinite isomorphisms and fixed-point properties
по: Bridson, M
Опубликовано: (2024)

Cartesian products as profinite completions
по: Kassabov, M, и др.
Опубликовано: (2006)

Profinite rigidity, fibering, and the figure-eight knot
по: Bridson, M, и др.
Опубликовано: (2020)

Natural extensions and profinite completions of algebras
по: Davey, B, и др.
Опубликовано: (2011)

Natural extensions and profinite completions of algebras
по: Davey, B, и др.
Опубликовано: (2011)

On the profinite rigidity of triangle groups
по: Bridson, MR, и др.
Опубликовано: (2021)

Absolute profinite rigidity and hyperbolic geometry
по: Bridson, M, и др.
Опубликовано: (2020)

Profinite rigidity and surface bundles over the circle
по: Bridson, MR, и др.
Опубликовано: (2017)

Canonical Extensions and Profinite Completions of Semilattices and Lattices
по: Gouveia, M, и др.
Опубликовано: (2014)

Profinite rigidity, Kleinian groups, and the cofinite Hopf property
по: Bridson, MR, и др.
Опубликовано: (2022)

Groups of profinite type and profinite rigidity
по: Bar-On, T, и др.
Опубликовано: (2024)

Constructing uncountably many groups with the same profinite completion
по: Nikolov, N, и др.
Опубликовано: (2021)

PROFINITE COMPLETIONS AND CANONICAL EXTENSIONS OF SEMILATTICE REDUCTS OF DISTRIBUTIVE LATTICES
по: Gouveia, M, и др.
Опубликовано: (2013)

On finitely generated profinite groups I: strong completeness and uniform bounds
по: Nikolov, N, и др.
Опубликовано: (2006)

Profinite rigidity of fibring
по: Hughes, S, и др.
Опубликовано: (2025)

Finite axiomatizability for profinite groups
по: Nies, A, и др.
Опубликовано: (2021)

Strange images of profinite groups
по: Nikolov, N
Опубликовано: (2011)

Profinite groups, arithmetic and geometry /
по: 307475 Shatz, Stephen S.
Опубликовано: (1972)

Algebraic properties of profinite groups
по: Nikolov, N
Опубликовано: (2011)

Closed subgroups of profinite groups
по: Segal, D
Опубликовано: (2000)

Strange images of profinite groups
по: Nikolov, N
Опубликовано: (2009)

Algebraic properties of profinite groups
по: Nikolov, N
Опубликовано: (2011)

Profinite and residual properties of fibred groups
по: Kudlinska, M
Опубликовано: (2024)

Infinite Galois theory and profinite groups
по: Loh, Colin Jia Sheng
Опубликовано: (2022)

The width of verbal subgroups in profinite groups
по: Simons, N, и др.
Опубликовано: (2009)

Proﬁnite properties of 3-manifold groups
по: Wilkes, G
Опубликовано: (2018)

On profinite groups with positive rank gradient
по: Nikolov, N
Опубликовано: (2022)

On the profinite rigidity of free and surface groups
по: Morales, I
Опубликовано: (2024)

Prosoluble subgroups of free profinite products
по: Pavel Zalesskii
Опубликовано: (2024-01-01)

Partial actions of groups on profinite spaces
по: Luis Martínez, и др.
Опубликовано: (2024-04-01)

Profinite groups with polynomial subgroup growth
по: Segal, D, и др.
Опубликовано: (1997)

Finite index subgroups in profinite groups
по: Nikolov, N, и др.
Опубликовано: (2003)