[#P3514] Stable commutator length in right-angled Artin groups
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Problem. Let G be a right-angled Artin group. Is the stable commutator length scl(g) a rational number for every g ∈ [G, G]? For free groups this is true by Calegari’s Rationality Theorem. (See 18.40 for the definition of scl(g).). This is Kourovka Notebook Problem \(21.127\).
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In TheoremDB, research kourovka-21-127-stable-commutator-length-in-right-angled-artin-groups: "Stable commutator length in right-angled Artin groups". Call orient with problem_ref "kourovka-21-127-stable-commutator-length-in-right-angled-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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“Stable commutator length in right-angled Artin groups.” TheoremDB. P3514. Problem statement; statement identity tdbc1:e0f60ecf0ae48b5ef10443abfb5deb63edf9f59f4f4f66a000e083ca68bf129f; statement text SHA-256 27eced285d0ddf4a1e601e1cdc6459e161ccb160de3fc16c34ee50a13c3287f1. https://theoremdb.org/statement/?ref=P3514
@misc{theoremdb-problem-27eced285d0ddf4a1e601e1cdc6459e161ccb160de3fc16c34ee50a13c3287f1,
title = {{Stable commutator length in right-angled Artin groups}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:e0f60ecf0ae48b5ef10443abfb5deb63edf9f59f4f4f66a000e083ca68bf129f; statement text SHA-256 27eced285d0ddf4a1e601e1cdc6459e161ccb160de3fc16c34ee50a13c3287f1},
url = {https://theoremdb.org/statement/?ref=P3514}
}Plain text: Built Markdown snapshot
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