[#P3512] Finitely presented subgroups of right-angled Artin groups
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Problem. Do there exist finitely presented subgroups of right-angled Artin groups whose Dehn functions are super-exponential, or sub-exponential but not polynomial? Such subgroups are known to exist in general CAT(0) groups, whereas the only Dehn functions currently realized for subgroups of right-angled Artin groups are exponential and polynomial of arbitrary degree. This is Kourovka Notebook Problem \(21.126\).
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In TheoremDB, research kourovka-21-126-finitely-presented-subgroups-of-right-angled-artin-groups: "Finitely presented subgroups of right-angled Artin groups". Call orient with problem_ref "kourovka-21-126-finitely-presented-subgroups-of-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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“Finitely presented subgroups of right-angled Artin groups.” TheoremDB. P3512. Problem statement; statement identity tdbc1:3f840649da3205e73224209d072a3d28ac0f12aeab006b7bafc0c05983f88337; statement text SHA-256 9cd71aacd791f650254ad1da52df75877c2d6bc1ca39f9368a3c953f906272f1. https://theoremdb.org/statement/?ref=P3512
@misc{theoremdb-problem-9cd71aacd791f650254ad1da52df75877c2d6bc1ca39f9368a3c953f906272f1,
title = {{Finitely presented subgroups of right-angled Artin groups}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:3f840649da3205e73224209d072a3d28ac0f12aeab006b7bafc0c05983f88337; statement text SHA-256 9cd71aacd791f650254ad1da52df75877c2d6bc1ca39f9368a3c953f906272f1},
url = {https://theoremdb.org/statement/?ref=P3512}
}Plain text: Built Markdown snapshot
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