Groups with a small set of generators | Zendy

Dikran Dikranjan | Zendy; U. Marconi | Zendy; Roberto Moresco | Zendy

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Groups with a small set of generators

Author(s) -

Dikran Dikranjan,

U. Marconi,

Roberto Moresco

Publication year - 2003

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2003.2037

Subject(s) - mathematics , set (abstract data type) , class (philosophy) , abelian group , group (periodic table) , generating set of a group , combinatorics , discrete mathematics , computer science , geometry , artificial intelligence , chemistry , organic chemistry , programming language

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

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