[#P3420] Linear groups with finitely many automorphism orbits
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Problem. Let G be a subgroup of GL(n, Q) with finitely many orbits under automorphisms. Is G a virtually soluble group? This is Kourovka Notebook Problem \(21.40\).
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In TheoremDB, research kourovka-21-40-linear-groups-with-finitely-many-automorphism-orbits: "Linear groups with finitely many automorphism orbits". Call orient with problem_ref "kourovka-21-40-linear-groups-with-finitely-many-automorphism-orbits", 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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“Linear groups with finitely many automorphism orbits.” TheoremDB. P3420. Problem statement; statement identity tdbc1:36d112381cda569a152c19678447c8748b88409ac052585e811650a100202aad; statement text SHA-256 7f94999ef648511bc18de6a78759c641c120f252e9765ef219e23e8d75c83c0e. https://theoremdb.org/statement/?ref=P3420
@misc{theoremdb-problem-7f94999ef648511bc18de6a78759c641c120f252e9765ef219e23e8d75c83c0e,
title = {{Linear groups with finitely many automorphism orbits}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:36d112381cda569a152c19678447c8748b88409ac052585e811650a100202aad; statement text SHA-256 7f94999ef648511bc18de6a78759c641c120f252e9765ef219e23e8d75c83c0e},
url = {https://theoremdb.org/statement/?ref=P3420}
}Plain text: Built Markdown snapshot
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