Cartesian products as profinite completions

Cartesian products as profinite completions

We prove that if a Cartesian product of alternating groups is topologically finitely generated, then it is the profinite completion of a finitely generated residually finite group. The same holds for Cartesian producs of other simple groups under some natural restrictions.

书目详细资料
Main Authors:	Kassabov, M, Nikolov, N
格式:	Journal article
语言:	English
出版:	2006

相似书籍

Direct products and profinite completions
由: Nikolov, N, et al.
出版: (2007)

Groups of profinite type and profinite rigidity
由: Bar-On, T, et al.
出版: (2024)

Constructing uncountably many groups with the same profinite completion
由: Nikolov, N, et al.
出版: (2021)

Strange images of profinite groups
由: Nikolov, N
出版: (2011)

Algebraic properties of profinite groups
由: Nikolov, N
出版: (2011)

Strange images of profinite groups
由: Nikolov, N
出版: (2009)

Algebraic properties of profinite groups
由: Nikolov, N
出版: (2011)

On finitely generated profinite groups I: strong completeness and uniform bounds
由: Nikolov, N, et al.
出版: (2006)

On profinite groups with positive rank gradient
由: Nikolov, N
出版: (2022)

Cofinite graphs and their profinite completions
由: Amrita Acharyya, et al.
出版: (2017-10-01)

On finitely generated profinite groups II, products in quasisimple groups
由: Nikolov, N, et al.
出版: (2006)

Finite index subgroups in profinite groups
由: Nikolov, N, et al.
出版: (2003)

Finite index subgroups in profinite groups
由: Nikolov, N, et al.
出版: (2003)

Decision problems and profinite completions of groups
由: Bridson, M
出版: (2008)

Direct factors of profinite completions and decidability
由: Bridson, M
出版: (2008)

The Schur multiplier, profinite completions and decidability
由: Bridson, M
出版: (2009)

Natural extensions and profinite completions of algebras
由: Davey, B, et al.
出版: (2011)

Natural extensions and profinite completions of algebras
由: Davey, B, et al.
出版: (2011)

Canonical Extensions and Profinite Completions of Semilattices and Lattices
由: Gouveia, M, et al.
出版: (2014)

Grothendieck's problems concerning profinite completions and representations of groups
由: Bridson, M, et al.
出版: (2004)

The isomorphism problem for profinite completions of residually finite groups
由: Bridson, M, et al.
出版: (2014)

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

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

PROFINITE COMPLETIONS AND CANONICAL EXTENSIONS OF SEMILATTICE REDUCTS OF DISTRIBUTIVE LATTICES
由: Gouveia, M, et al.
出版: (2013)

Prosoluble subgroups of free profinite products
由: Pavel Zalesskii
出版: (2024-01-01)

Profinite rigidity of fibring
由: Hughes, S, et al.
出版: (2025)

Profinite rigidity and free groups
由: Bridson, M
出版: (2023)

Finite axiomatizability for profinite groups
由: Nies, A, et al.
出版: (2021)

On the profinite rigidity of triangle groups
由: Bridson, MR, et al.
出版: (2021)

Profinite invariants of arithmetic groups
由: Holger Kammeyer, et al.
出版: (2020-01-01)

On finite-by-nilpotent profinite groups
由: Eloisa Detomi, et al.
出版: (2020-12-01)

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

Closed subgroups of profinite groups
由: Segal, D
出版: (2000)

Completeness of the Cartesian Product of Two Complete Fuzzy Normed Spaces
由: Jehad R. Kider
出版: (2013-03-01)

The width of verbal subgroups in profinite groups
由: Simons, N, et al.
出版: (2009)

Profinite isomorphisms and fixed-point properties
由: Bridson, M
出版: (2024)

Profinite and residual properties of fibred groups
由: Kudlinska, M
出版: (2024)

Absolute profinite rigidity and hyperbolic geometry
由: Bridson, M, et al.
出版: (2020)

Infinite Galois theory and profinite groups
由: Loh, Colin Jia Sheng
出版: (2022)

Proﬁnite properties of 3-manifold groups
由: Wilkes, G
出版: (2018)