On the simplicity of homeomorphism groups of a tilable lamination

José Aliste-Prieto, Samuel Petite

Resultado de la investigación: Article

1 Cita (Scopus)

Resumen

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.

Idioma originalEnglish
Páginas (desde-hasta)285-300
Número de páginas16
PublicaciónMonatshefte fur Mathematik
Volumen181
N.º2
DOI
EstadoPublished - 1 oct 2016

Huella dactilar

Homeomorphism Group
Lamination
Simplicity
Leaves
Vertical

ASJC Scopus subject areas

  • Mathematics(all)

Citar esto

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On the simplicity of homeomorphism groups of a tilable lamination. / Aliste-Prieto, José; Petite, Samuel.

En: Monatshefte fur Mathematik, Vol. 181, N.º 2, 01.10.2016, p. 285-300.

Resultado de la investigación: Article

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AB - 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.

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KW - Simple groups

KW - Tilable laminations

KW - Tiling spaces

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