Relative minimality and co-minimality of subgroups in topological groups

Dikran Dikranjan, Michael Megrelishvili

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11 Scopus citations

Abstract

We study two properties of subgroups of a topological group (relative minimality and co-minimality), that generalize minimality. Many applications, mostly related to semidirect products and generalized Heisenberg groups are given.

Original languageEnglish
Pages (from-to)62-76
Number of pages15
JournalTopology and its Applications
Volume157
Issue number1
DOIs
StatePublished - 1 Jan 2010

Bibliographical note

Funding Information:
E-mail addresses: dikranja@dimi.uniud.it (D. Dikranjan), megereli@math.biu.ac.il (M. Megrelishvili). 1 This author acknowledges the financial aid received from MCYT, MTM2006-02036 and FEDER funds.

Keywords

  • Co-minimal subgroup
  • Heisenberg group
  • Minimal group
  • Relatively minimal subgroup

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