Abstract commensurators of braid groups

Christopher J. Leininger, Dan Margalit

Research output: Contribution to journalArticlepeer-review


Let Bn be the braid group on n {greater than or slanted equal to} 4 strands. We show that the abstract commensurator of Bn is isomorphic to Mod ( S ) ⋉ ( Q× ⋉ Q ), where Mod ( S ) is the extended mapping class group of the sphere with n + 1 punctures.

Original languageEnglish (US)
Pages (from-to)447-455
Number of pages9
JournalJournal of Algebra
Issue number2
StatePublished - May 15 2006


  • Abstract commensurator
  • Braid group

ASJC Scopus subject areas

  • Algebra and Number Theory


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