Groups with a small set of generators

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

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2037-6381-1-SM.pdf (345.64 KB)

Fecha

2003-10-01

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https://riunet.upv.es/handle/10251/82375

Cita bibliográfica

Dikranjan, D.; Marconi, U.; Moresco, R. (2003). Groups with a small set of generators. Applied General Topology. 4(2):327-350. https://doi.org/10.4995/agt.2003.2037

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Resumen

[EN] Following [22] we study the class S of all groups that admit a small set of generators. Here we adopt also another notion of smallness (P-small) introduced by Prodanov in the case of abelian groups. We push further some results obtained in [22] (by adding some new members of S) and partially resolve an open question posed in [22]. We show that in most cases the groups in S admit a P-small set of generators.

Palabras clave

Group, Large set, Permutation group, Linear group, Compact group, Profinite group

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2003.2037

Versión del editor

https://doi.org/10.4995/agt.2003.2037

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Applied General Topology - Vol 04, No 2 (2003)