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Compact groups with a dense free abelian subgroup

Dikranjan, Dikran
•
Giordano Bruno, Anna
2013
  • Controlled Vocabulary...

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 $K$.}
Archivio
http://hdl.handle.net/10077/9605
Diritti
open access
Soggetti
  • compact group

  • dense subgroup

  • free abelian subgroup...

  • topological generator...

  • topological free rank...

  • \omega-divisible grou...

  • divisible weight

Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
Vedi dettagli
google-scholar
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