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Extended Affine Weyl Groups: Presentation by Conjugation via Integral Collection

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We give several necessary and sufficient conditions for the existence of the presentation by conjugation for a non-simply laced extended affine Weyl group. We invent a computational tool by which one can determine simply the existence of the presentation by conjugation for an extended affine Weyl group. As an application, we determine the existence of the presentation by conjugation for a large class of extended affine Weyl groups.
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Keywords: Coxeter group; Extended affine Weyl group; Extended affine root system; Presentation by conjugation

Document Type: Research Article

Affiliations: 1: Department of Mathematics, University of Isfahan, Isfahan, Iran 2: Department of Mathematics, University of Qom, Qom, Iran

Publication date: 2011-02-01

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