Weakly finitely presented infinite periodic groups

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dc.creatorIvanov, S. V.
dc.date2002-09-18
dc.date.accessioned2026-07-07T04:51:00Z
dc.date.available2026-07-07T04:51:00Z
dc.descriptionA group $G$ given by a presentation $G = < \mathcal A \| \mathcal R >$ is called weakly finitely presented if every finitely generated subgroup of $G$, generated by (images of) some words in $\mathcal A^{\pm 1}$, is naturally isomorphic to the subgroup of a group $G_0 = < \mathcal A_0 \| \mathcal R_0>$, where $\mathcal A_0 \subseteq \mathcal A$, $\mathcal R_0 \subseteq \mathcal R$ are finite, generated by (images of) the same words. In the article, weakly finitely presented periodic groups which are not locally finite are constructed.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0209234
dc.identifierhttp://arxiv.org/abs/math/0209234
dc.identifierContemporary Math. 296(2002), 139-154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64992
dc.subjectGroup Theory
dc.subject20E07, 20F05, 20F06, 20F50
dc.titleWeakly finitely presented infinite periodic groups
dc.typetext

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