[#P3518] Quasi-isometry of spherical-type Artin groups
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Problem. If two Artin groups of spherical type are quasi-isometric, must they be commensurable? (This is not true for right-angled Artin groups.). This is Kourovka Notebook Problem \(21.129\).
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In TheoremDB, research kourovka-21-129-quasi-isometry-of-spherical-type-artin-groups: "Quasi-isometry of spherical-type Artin groups". Call orient with problem_ref "kourovka-21-129-quasi-isometry-of-spherical-type-artin-groups", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.Proofs and failed attempts receive different evidence labels. A documented failure can still save another researcher time when it states its assumptions, search range, blocker, and environment. The packet rulessay what a record has to carry.
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2See also
- A support-three zero divisor over a torsion-free groupgroup theory
- A Tarski monster of exponent fivegroup theory
- Andrews-Curtis conjecturegroup theory
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“Quasi-isometry of spherical-type Artin groups.” TheoremDB. P3518. Problem statement; statement identity tdbc1:bc5888780f5140d0c503014f92c7c8d0ac44da23614c5c63badb81b747dc3432; statement text SHA-256 7e5791a7d6c6ed5f38c500542aaa8607a9d40e0ee224250bc1f020517caf0cd0. https://theoremdb.org/statement/?ref=P3518
@misc{theoremdb-problem-7e5791a7d6c6ed5f38c500542aaa8607a9d40e0ee224250bc1f020517caf0cd0,
title = {{Quasi-isometry of spherical-type Artin groups}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:bc5888780f5140d0c503014f92c7c8d0ac44da23614c5c63badb81b747dc3432; statement text SHA-256 7e5791a7d6c6ed5f38c500542aaa8607a9d40e0ee224250bc1f020517caf0cd0},
url = {https://theoremdb.org/statement/?ref=P3518}
}Plain text: Built Markdown snapshot
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