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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखक:	Bridson, M
स्वरूप:	Journal article
भाषा:	English
प्रकाशित:	2008

समान संसाधन

The Schur multiplier, profinite completions and decidability
द्वारा: Bridson, M
प्रकाशित: (2009)

Decision problems and profinite completions of groups
द्वारा: Bridson, M
प्रकाशित: (2008)

Direct products and profinite completions
द्वारा: Nikolov, N, और अन्य
प्रकाशित: (2007)

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

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

Grothendieck's problems concerning profinite completions and representations of groups
द्वारा: Bridson, M, और अन्य
प्रकाशित: (2004)

The isomorphism problem for profinite completions of residually finite groups
द्वारा: Bridson, M, और अन्य
प्रकाशित: (2014)

Profinite rigidity and free groups
द्वारा: Bridson, M
प्रकाशित: (2023)

Profinite isomorphisms and fixed-point properties
द्वारा: Bridson, M
प्रकाशित: (2024)

Cartesian products as profinite completions
द्वारा: Kassabov, M, और अन्य
प्रकाशित: (2006)

Profinite rigidity, fibering, and the figure-eight knot
द्वारा: Bridson, M, और अन्य
प्रकाशित: (2020)

Natural extensions and profinite completions of algebras
द्वारा: Davey, B, और अन्य
प्रकाशित: (2011)

Natural extensions and profinite completions of algebras
द्वारा: Davey, B, और अन्य
प्रकाशित: (2011)

On the profinite rigidity of triangle groups
द्वारा: Bridson, MR, और अन्य
प्रकाशित: (2021)

Absolute profinite rigidity and hyperbolic geometry
द्वारा: Bridson, M, और अन्य
प्रकाशित: (2020)

Profinite rigidity and surface bundles over the circle
द्वारा: Bridson, MR, और अन्य
प्रकाशित: (2017)

Canonical Extensions and Profinite Completions of Semilattices and Lattices
द्वारा: Gouveia, M, और अन्य
प्रकाशित: (2014)

Profinite rigidity, Kleinian groups, and the cofinite Hopf property
द्वारा: Bridson, MR, और अन्य
प्रकाशित: (2022)

Groups of profinite type and profinite rigidity
द्वारा: Bar-On, T, और अन्य
प्रकाशित: (2024)

Constructing uncountably many groups with the same profinite completion
द्वारा: Nikolov, N, और अन्य
प्रकाशित: (2021)

PROFINITE COMPLETIONS AND CANONICAL EXTENSIONS OF SEMILATTICE REDUCTS OF DISTRIBUTIVE LATTICES
द्वारा: Gouveia, M, और अन्य
प्रकाशित: (2013)

On finitely generated profinite groups I: strong completeness and uniform bounds
द्वारा: Nikolov, N, और अन्य
प्रकाशित: (2006)

Profinite rigidity of fibring
द्वारा: Hughes, S, और अन्य
प्रकाशित: (2025)

Finite axiomatizability for profinite groups
द्वारा: Nies, A, और अन्य
प्रकाशित: (2021)

Strange images of profinite groups
द्वारा: Nikolov, N
प्रकाशित: (2011)

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

Algebraic properties of profinite groups
द्वारा: Nikolov, N
प्रकाशित: (2011)

Closed subgroups of profinite groups
द्वारा: Segal, D
प्रकाशित: (2000)

Strange images of profinite groups
द्वारा: Nikolov, N
प्रकाशित: (2009)

Algebraic properties of profinite groups
द्वारा: Nikolov, N
प्रकाशित: (2011)

Profinite and residual properties of fibred groups
द्वारा: Kudlinska, M
प्रकाशित: (2024)

Infinite Galois theory and profinite groups
द्वारा: Loh, Colin Jia Sheng
प्रकाशित: (2022)

The width of verbal subgroups in profinite groups
द्वारा: Simons, N, और अन्य
प्रकाशित: (2009)

Proﬁnite properties of 3-manifold groups
द्वारा: Wilkes, G
प्रकाशित: (2018)

On profinite groups with positive rank gradient
द्वारा: Nikolov, N
प्रकाशित: (2022)

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

Prosoluble subgroups of free profinite products
द्वारा: Pavel Zalesskii
प्रकाशित: (2024-01-01)

Partial actions of groups on profinite spaces
द्वारा: Luis Martínez, और अन्य
प्रकाशित: (2024-04-01)

Profinite groups with polynomial subgroup growth
द्वारा: Segal, D, और अन्य
प्रकाशित: (1997)

Finite index subgroups in profinite groups
द्वारा: Nikolov, N, और अन्य
प्रकाशित: (2003)