Group laws and free subgroups in topological groups

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dc.creatorAbert, Miklos
dc.date2003-06-25
dc.date.accessioned2026-07-07T04:59:11Z
dc.date.available2026-07-07T04:59:11Z
dc.descriptionWe prove that a permutation group in which different finite sets have different stabilizers cannot satisfy any group law. For locally compact topological groups with this property we show that almost all finite subsets of the group generate free subgroups. We derive consequences of these theorems on Thompson's group $F$, weakly branch groups, automorphism groups of regular trees and profinite groups with alternating composition factors of unbounded degree.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0306364
dc.identifierhttp://arxiv.org/abs/math/0306364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67879
dc.subjectGroup Theory
dc.subject20B07, 20E08, 57S99
dc.titleGroup laws and free subgroups in topological groups
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