M. G. Brin has introduced the higher-dimensional Thompson groups nV that are generalizations to the Thompson group V of self-homeomorphisms of the Cantor set and found a finite set of generators and relations in the case n=D 2. We show how to generalize his construction to obtain a finite presentation for every positive integer n. As a corollary, we obtain another proof that the groups nV are simple (first proved by Brin). © 2012 by Pacific Journal of Mathematics.
Hennig, J., Matucci, F. (2012). Presentations for the higher-dimensional thompson groups nV. PACIFIC JOURNAL OF MATHEMATICS, 257(1), 53-74 [10.2140/pjm.2012.257.53].
Presentations for the higher-dimensional thompson groups nV
Matucci, Francesco
Co-primo
2012
Abstract
M. G. Brin has introduced the higher-dimensional Thompson groups nV that are generalizations to the Thompson group V of self-homeomorphisms of the Cantor set and found a finite set of generators and relations in the case n=D 2. We show how to generalize his construction to obtain a finite presentation for every positive integer n. As a corollary, we obtain another proof that the groups nV are simple (first proved by Brin). © 2012 by Pacific Journal of Mathematics.
| File | Dimensione | Formato | |
|---|---|---|---|
|
nV-revision-4.pdf
accesso aperto
Tipologia di allegato:
Submitted Version (Pre-print)
Dimensione
383.56 kB
Formato
Adobe PDF
|
383.56 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
