Alternating subgroups of Coxeter groups and their spinor extensions
- Autores: O. V. Ogievetsky, Loïc Poulain d'Andecy
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 11, 2013, págs. 2198-2211
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.02.007
- Enlaces
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Resumen
Let G be a discrete Coxeter group, G+ its alternating subgroup and �G+ the spinor cover of G+. A presentation of the groups G+ and �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.
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