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Every infinite group can be generated by P-small subset

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Every infinite group can be generated by P-small subset

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dc.contributor.author Dikranjan, Dikran es_ES
dc.contributor.author Protasov, Igor es_ES
dc.date.accessioned 2017-06-16T10:13:32Z
dc.date.available 2017-06-16T10:13:32Z
dc.date.issued 2006-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/83050
dc.description.abstract [EN] For every infinite group G and every set of generators S of G, we construct a system of generators in S which is small in the sense of Prodanov. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Group es_ES
dc.subject Large set es_ES
dc.subject Small set es_ES
dc.subject P-small set es_ES
dc.title Every infinite group can be generated by P-small subset es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-16T08:57:04Z
dc.identifier.doi 10.4995/agt.2006.1929
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Dikranjan, D.; Protasov, I. (2006). Every infinite group can be generated by P-small subset. Applied General Topology. 7(2):265-268. https://doi.org/10.4995/agt.2006.1929 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2006.1929 es_ES
dc.description.upvformatpinicio 265 es_ES
dc.description.upvformatpfin 268 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references A. Bella and V. Malykhin, Small, large and other subsets of a group, Questions and Answers in General Topology 17 (1967), 183–197. es_ES
dc.description.references Dikranjan, D., Marconi, U., & Moresco, R. (2003). Groups with a small set of generators. Applied General Topology, 4(2), 327. doi:10.4995/agt.2003.2037 es_ES
dc.description.references Gusso, R. (2002). Large and small sets with respect to homomorphisms and products of groups. Applied General Topology, 3(2), 133. doi:10.4995/agt.2002.2059 es_ES
dc.description.references V.Malykhin and R. Moresco, Small generated groups, Questions and Answers in General Topology 19 (1) (2001), 47–53. es_ES
dc.description.references Prodanov, I. (1977). Some minimal group topologies are precompact. Mathematische Annalen, 227(2), 117-125. doi:10.1007/bf01350188 es_ES
dc.description.references I. Protasov, Every infinite group can be generated by small subset, in: Third Intern. Algebraic Conf. in Ukraine, Sumy, (2001), 92–94. es_ES
dc.description.references I. Protasov and T. Banakh, Ball Structures and Colorings of Graphs and Groups, Matem. Stud. Monogr. Series, Vol 11, Lviv, 2003. es_ES


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