Cellularity of a space of subgroups of a discrete group

A. Leiderman, I. V. Protasov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Given a discrete group G, we consider the set L(G) of all subgroups of G endowed with topology of pointwise convergence arising from the standard embedding of L(G) into the Cantor cube (0, 1)G. We show that the cellularity c(L(G)) ≤ ℵ0 for every abelian group G, and, for every infinite cardinal τ we construct a group G with c(L(G)) =τ.

Original languageEnglish
Pages (from-to)519-522
Number of pages4
JournalCommentationes Mathematicae Universitatis Carolinae
Issue number3
StatePublished - 1 Jan 2008


  • Cellularity
  • Shanin number
  • Space of subgroups

ASJC Scopus subject areas

  • General Mathematics


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