On the simplicity of homeomorphism groups of a tilable lamination

José Aliste-Prieto, Samuel Petite

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We show that the identity component of the group of homeomorphisms that preserve all leaves of a Rd-tilable lamination is simple. Moreover, in the one dimensional case, we show that this group is uniformly perfect. We obtain similar results for homeomorphisms preserving the vertical structure.

Original languageEnglish
Pages (from-to)285-300
Number of pages16
JournalMonatshefte fur Mathematik
Volume181
Issue number2
DOIs
Publication statusPublished - 1 Oct 2016

Keywords

  • Homeomorphism groups
  • Simple groups
  • Tilable laminations
  • Tiling spaces

ASJC Scopus subject areas

  • General Mathematics

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