Direct factors of profinite completions and decidability

DOI10.1515/JGT.2008.067zbMath1173.20022arXiv0810.0399OpenAlexW2962773802MaRDI QIDQ3619547

Martin R. Bridson

Publication date: 8 April 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0399

zbMATH Keywords

decision problemssubgroups of finite indexdirect productsfinitely generated residually finite groupsprofinite completionsfinitely presented residually finite groupsdirect factor problem

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Related Items

Decision problems and profinite completions of groups.

Cites Work

• Normal subgroups in duality groups and in groups of cohomological dimension 2
• Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture
• Fibre products, non-positive curvature, and decision problems
• Grothendieck's problems concerning profinite completions and representations of groups.
• Groups of intermediate subgroup growth and a problem of Grothendieck.
• Representations lineaires et compactification profinie des groups discrets
• Subgroups of small Cancellation Groups
• On Some Groups which cannot be Finitely Presented
• A RESIDUALLY FINITE VERSION OF RIPS'S CONSTRUCTION
• Direct products and profinite completions
• The direct extension theorem
• The direct product theorem for profinite groups