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Every infinite group can be generated by P-small subset. (English) Zbl 1112.20028

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.

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