Dikranjan, Dikran; Protasov, Igor Every infinite group can be generated by P-small subset. (English) Zbl 1112.20028 Appl. Gen. Topol. 7, No. 2, 265-268 (2006). Summary: 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. Cited in 2 ReviewsCited in 5 Documents MSC: 20F05 Generators, relations, and presentations of groups 22A05 Structure of general topological groups 54H11 Topological groups (topological aspects) 22D05 General properties and structure of locally compact groups Keywords:infinite groups; large subsets; small subsets; generators × Cite Format Result Cite Review PDF Full Text: DOI