Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/9605
 Title: Compact groups with a dense free abelian subgroup Authors: Dikranjan, DikranGiordano Bruno, Anna Keywords: compact group; dense subgroup; free abelian subgroup; topological generators; topological free rank; \omega-divisible group; divisible weight Issue Date: 2013 Publisher: EUT Edizioni Università di Trieste Source: Dikran Dikranjan and Anna Giordano Bruno, "Compact groups with a dense free abelian subgroup", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 45 (2013), pp. 137–150. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics45 (2013) Abstract: The compact groups having a dense infinite cyclic subgroup (known as monothetic compact groups) have been studied by many authors for their relevance and nice applications. In this paper we describe in full details the compact groups $K$ with a dense free abelian subgroup $F$ and we describe the minimum rank $r_t(K)$ of such a subgroup $F$ of $K$. Surprisingly, it is either finite or coincides with the density character $d(K)$ of $K$.} Type: Article URI: http://hdl.handle.net/10077/9605 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.45 (2013)

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