Alternating subgroups of Coxeter groups and their spinor extensions

O. V. Ogievetsky; L. Poulain d'Andecy

Alternating subgroups of Coxeter groups and their spinor extensions

Group Theory 2013-07-26 v1 Mathematical Physics math.MP

Authors: O. V. Ogievetsky , L. Poulain d'Andecy

Abstract

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.

Keywords

coxeter groups wreath product of groups groupoid actions

Cite

@article{arxiv.1112.6347,
  title  = {Alternating subgroups of Coxeter groups and their spinor extensions},
  author = {O. V. Ogievetsky and L. Poulain d'Andecy},
  journal= {arXiv preprint arXiv:1112.6347},
  year   = {2013}
}

Alternating subgroups of Coxeter groups and their spinor extensions

Abstract

Keywords

Cite

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