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Compact groups with a dense free abelian subgroup
Dikranjan, Dikran
Giordano Bruno, Anna
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 $K$.}
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
45 (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.
Languages
en
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