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.
Groups with a small set of generators
DIKRANJAN, Dikran;
2003-01-01
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.File in questo prodotto:
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