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EnglishThe combinatorial notion of a "small set" in an abstract group was introduced by Bella and Malykhin. Then Malykhin and Moresco proved that some infinite abelian groups admit a small set of generators and raised the problem of establishing that all groups have a small set of generators. The present paper provides many classes of groups where the problem can be resilved in the positive.
Groups with a small set of generators / Dikranjan D.N.; Marconi U.; Moresco R.. - In: APPLIED GENERAL TOPOLOGY. - ISSN 1576-9402. - STAMPA. - 4:2(2003), pp. 327-350.
| Titolo: | Groups with a small set of generators |
| Autori: | |
| Data di pubblicazione: | 2003 |
| Rivista: | |
| Citazione: | Groups with a small set of generators / Dikranjan D.N.; Marconi U.; Moresco R.. - In: APPLIED GENERAL TOPOLOGY. - ISSN 1576-9402. - STAMPA. - 4:2(2003), pp. 327-350. |
| Abstract: | The combinatorial notion of a "small set" in an abstract group was introduced by Bella and Malykhin. Then Malykhin and Moresco proved that some infinite abelian groups admit a small set of generators and raised the problem of establishing that all groups have a small set of generators. The present paper provides many classes of groups where the problem can be resilved in the positive. |
| Handle: | http://hdl.handle.net/11390/681439 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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