Geometric presentations for Thompson's groups - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Pure and Applied Algebra Année : 2005

Geometric presentations for Thompson's groups

Résumé

We prove that Thompson's groups $F$ and $V$ are the geometry groups of associativity, and of associativity together with commutativity, respectively. We deduce new presentations of $F$ and $V$. These presentations lead to considering a certain subgroup of~$V$ and an extension of this subgroup. We prove that the latter are the geometry groups of associativity together with the law $x(yz) = y(xz)$, and of associativity together with a twisted version of this law involving self-distributivity, respectively.
Fichier principal
Vignette du fichier
Dhb.pdf (408 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00001636 , version 1 (27-05-2004)
hal-00001636 , version 2 (06-07-2004)
hal-00001636 , version 3 (04-02-2005)

Identifiants

Citer

Patrick Dehornoy. Geometric presentations for Thompson's groups. Journal of Pure and Applied Algebra, 2005, 203, pp.1-44. ⟨hal-00001636v3⟩
76 Consultations
176 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More