Relative minimality and co-minimality of subgroups in topological groups

Dikran Dikranjan, Michael Megrelishvili

Research output: Contribution to journalArticlepeer-review

12 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: [email protected] (D. Dikranjan), [email protected] (M. Megrelishvili). 1 This author acknowledges the financial aid received from MCYT, MTM2006-02036 and FEDER funds.

Funding

E-mail addresses: [email protected] (D. Dikranjan), [email protected] (M. Megrelishvili). 1 This author acknowledges the financial aid received from MCYT, MTM2006-02036 and FEDER funds.

FundersFunder number
MCYT

    Keywords

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

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