O. V. Ogievetsky, L. Poulain d`Andecy. Alternating subgroups of Coxeter groups and their spinor extensions

Natural Sciences / Mathematics / Algebra

Submitted on: Sep 12, 2012, 17:37:23

Description: 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.

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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