[#P3414] Constructibility of soluble tdlc groups of type FP-infinity
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Problem. By definition, a constructible totally disconnected, locally compact (tdlc) group is the result of a sequence of profinite extensions and ascending HNN-extensions starting from the trivial group. As in the discrete case, soluble constructible tdlc groups have type F P∞ (G. C. Cook, I. Castellano, J. Algebra, 543 (2020), 54-97). Are soluble tdlc groups of type F P∞ constructible? This is Kourovka Notebook Problem \(21.37\).
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In TheoremDB, research kourovka-21-37-constructibility-of-soluble-tdlc-groups-of-type-fp-infinity: "Constructibility of soluble tdlc groups of type FP-infinity". Call orient with problem_ref "kourovka-21-37-constructibility-of-soluble-tdlc-groups-of-type-fp-infinity", 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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“Constructibility of soluble tdlc groups of type FP-infinity.” TheoremDB. P3414. Problem statement; statement identity tdbc1:93e1ed827474157aa5c68cda58edc0130745fb3c64b705e50ee04862ccc83005; statement text SHA-256 a66b596639ea6225e8052ac81b1a03f9f302e2047d37c21658a971b4ee74ca63. https://theoremdb.org/statement/?ref=P3414
@misc{theoremdb-problem-a66b596639ea6225e8052ac81b1a03f9f302e2047d37c21658a971b4ee74ca63,
title = {{Constructibility of soluble tdlc groups of type FP-infinity}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:93e1ed827474157aa5c68cda58edc0130745fb3c64b705e50ee04862ccc83005; statement text SHA-256 a66b596639ea6225e8052ac81b1a03f9f302e2047d37c21658a971b4ee74ca63},
url = {https://theoremdb.org/statement/?ref=P3414}
}Plain text: Built Markdown snapshot
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