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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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Dikranjan, D.; Protasov, IV. (2006). Every infinite group can be generated by P-small subset. Applied General Topology. 7(2):265-268. doi:10.4995/agt.2006.1929.

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/83050

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Title: Every infinite group can be generated by P-small subset
Author: Dikranjan, Dikran Protasov, Igor
Issued date:
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.
Subjects: Group , Large set , Small set , P-small set
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2006.1929
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2006.1929
Type: Artículo

References

A. Bella and V. Malykhin, Small, large and other subsets of a group, Questions and Answers in General Topology 17 (1967), 183–197.

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

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 [+]
A. Bella and V. Malykhin, Small, large and other subsets of a group, Questions and Answers in General Topology 17 (1967), 183–197.

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

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

V.Malykhin and R. Moresco, Small generated groups, Questions and Answers in General Topology 19 (1) (2001), 47–53.

Prodanov, I. (1977). Some minimal group topologies are precompact. Mathematische Annalen, 227(2), 117-125. doi:10.1007/bf01350188

I. Protasov, Every infinite group can be generated by small subset, in: Third Intern. Algebraic Conf. in Ukraine, Sumy, (2001), 92–94.

I. Protasov and T. Banakh, Ball Structures and Colorings of Graphs and Groups, Matem. Stud. Monogr. Series, Vol 11, Lviv, 2003.

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