[#P3402] Regular subgroups in holomorphs of soluble groups
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Problem. Conjecture: If N is a finite soluble group, then any regular subgroup in the holomorph Hol(N ) of N is also soluble. This is Kourovka Notebook Problem \(21.31\).
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In TheoremDB, research kourovka-21-31-regular-subgroups-in-holomorphs-of-soluble-groups: "Regular subgroups in holomorphs of soluble groups". Call orient with problem_ref "kourovka-21-31-regular-subgroups-in-holomorphs-of-soluble-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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“Regular subgroups in holomorphs of soluble groups.” TheoremDB. P3402. Problem statement; statement identity tdbc1:e3e09336d2dab954a44a31c5b3656f063eea70320d8d445c6237f04d65c254f9; statement text SHA-256 3c79b6358f290e566ac81053f3cb171230fe7de251a49b27b42f524aedfdcf0d. https://theoremdb.org/statement/?ref=P3402
@misc{theoremdb-problem-3c79b6358f290e566ac81053f3cb171230fe7de251a49b27b42f524aedfdcf0d,
title = {{Regular subgroups in holomorphs of soluble groups}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:e3e09336d2dab954a44a31c5b3656f063eea70320d8d445c6237f04d65c254f9; statement text SHA-256 3c79b6358f290e566ac81053f3cb171230fe7de251a49b27b42f524aedfdcf0d},
url = {https://theoremdb.org/statement/?ref=P3402}
}Plain text: Built Markdown snapshot
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