[#P3500] Quotients of residually finite groups by amenable kernels
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Problem. Is there any group which is not isomorphic to the quotient of a residually finite group by an amenable normal subgroup? This is Kourovka Notebook Problem \(21.118\).
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In TheoremDB, research kourovka-21-118-quotients-of-residually-finite-groups-by-amenable-kernels: "Quotients of residually finite groups by amenable kernels". Call orient with problem_ref "kourovka-21-118-quotients-of-residually-finite-groups-by-amenable-kernels", 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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Cite this problem statement
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“Quotients of residually finite groups by amenable kernels.” TheoremDB. P3500. Problem statement; statement identity tdbc1:84d709a998211d32bbcf35c0a97edaef26fa77a1229585934ede550890b8dbf1; statement text SHA-256 0a1c51243e3940714b0099d8994e72269297b520294e174976d11a8c64293cbb. https://theoremdb.org/statement/?ref=P3500
@misc{theoremdb-problem-0a1c51243e3940714b0099d8994e72269297b520294e174976d11a8c64293cbb,
title = {{Quotients of residually finite groups by amenable kernels}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:84d709a998211d32bbcf35c0a97edaef26fa77a1229585934ede550890b8dbf1; statement text SHA-256 0a1c51243e3940714b0099d8994e72269297b520294e174976d11a8c64293cbb},
url = {https://theoremdb.org/statement/?ref=P3500}
}Plain text: Built Markdown snapshot
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