On the structure of finitely presented Bestvina–Brady groups

DOI10.1142/s0218196724500012arXiv2205.09154OpenAlexW4390274824MaRDI QIDQ6195306

Priyavrat Deshpande, Mallika Roy

Publication date: 13 March 2024

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.09154

zbMATH Keywords

right-angled Artin groupBestvina-Brady groupamalgamated product

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Products, amalgamated products, and other kinds of limits and colimits (08B25)

Cites Work

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• Graph groups, coherence, and three-manifolds
• Morse theory and finiteness properties of groups
• Embeddability between right-angled Artin groups..
• Graphical splittings of Artin kernels
• Abelian splittings of right-angled Artin groups
• Identifying Dehn functions of Bestvina-Brady groups from their defining graphs
• An introduction to right-angled Artin groups.
• When does a right-angled Artin group split over ℤ?
• Presentations for subgroups of Artin groups
• Algebraic invariants for Bestvina-Brady groups
• A Finitely Presented Group Whose 3-Dimensional Integral Homology is not Finitely Generated
• Abelian splittings and JSJ-decompositions of finitely presented Bestvina-Brady groups

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