Profinite completions of some groups acting on trees

dc.creatorPervova, Ekaterina
dc.date2004-11-09
dc.date2004-11-16
dc.date.accessioned2026-07-07T05:14:07Z
dc.date.available2026-07-07T05:14:07Z
dc.descriptionWe investigate the profinite completions of a certain family of groups acting on trees. It turns out that for some of the groups considered, the completions coincide with the closures of the groups in the full group of tree automorphisms. However, we introduce an infinite series of groups for which that is not so, and describe the kernels of natural homomorphisms of the profinite completions onto the aforementioned closures of respective groups.
dc.description22 pages; the statement of financial acknowledgement is slightly changed, and a misprint in the definition of recursive groups is corrected
dc.identifierhttps://arxiv.org/abs/math/0411192
dc.identifierhttp://arxiv.org/abs/math/0411192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73156
dc.subjectGroup Theory
dc.subject20E08, 20E18 (Primary) 20F50 (Secondary)
dc.titleProfinite completions of some groups acting on trees
dc.typetext

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