The Structure of a Presented Group Associated to an Extended Affine Root System

DOI10.1080/00927872.2010.524905zbMath1257.20044OpenAlexW2100900224MaRDI QIDQ2881051

Valiollah Shahsanaei

Publication date: 3 April 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.524905

zbMATH Keywords

extended affine Weyl groupsextended affine root systemspresentations by conjugation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

Cites Work

• On the presentations of extended affine Weyl groups.
• The Abelianizations of Weyl groups of root systems extended by Abelian groups
• Extended affine root systems. I: Coxeter transformations
• Extended affine Weyl groups
• Nonreduced extended affine Weyl groups.
• Simply laced extended affine Weyl groups (a finite presentation).
• Extended Affine Weyl Groups: Presentation by Conjugation via Integral Collection
• Presentation by conjugation for \(A_1\)-type extended affine Weyl groups.

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