Alternating subgroups of Coxeter groups and their spinor extensions - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Pure and Applied Algebra Année : 2013

Alternating subgroups of Coxeter groups and their spinor extensions

Résumé

Let $G$ be a discrete Coxeter group, $G^+$ its alternating subgroup and $\tilde{G}^+$ the spinor cover of $G^+$. A presentation of the groups $G^+$ and $\tilde{G}^+$ is proved for an arbitrary Coxeter system $(G,S)$; the generators are related to edges of the Coxeter graph. Results of the Coxeter--Todd algorithm - with this presentation - for the chains of alternating groups of types A, B and D are given.

Dates et versions

hal-00961355 , version 1 (19-03-2014)

Identifiants

Citer

O. V. Ogievetsky, L. Poulain d'Andecy. Alternating subgroups of Coxeter groups and their spinor extensions. Journal of Pure and Applied Algebra, 2013, 217 (11), pp.2198-2211. ⟨10.1016/j.jpaa.2013.02.007⟩. ⟨hal-00961355⟩
71 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More