A Polish group without Lie sums

Research output: Contribution to journalArticlepeer-review


We construct a Polish group with an invariant metric in which Lie sums and Lie brackets do not exist. The construction of the group and the proof of the main theorem use some facts of combinatorial nature about the free group with two generators equipped with a Graev metric.

Original languageEnglish (US)
Pages (from-to)135-147
Number of pages13
JournalAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Issue number1
StatePublished - Jun 2009


  • Graev metric
  • Lie bracket
  • Lie sum
  • Polish group

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'A Polish group without Lie sums'. Together they form a unique fingerprint.

Cite this