MathDB3 problems
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Azevedo–Shumyatsky conciseness conjecture for commutators of non-commutator words
Azevedo–Shumyatsky conjecture. The word
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Philip Hall's conciseness conjecture for group words
Philip Hall's conjecture. Every group word is concise.
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The open-subgroup finite-rank conjecture for profinite word-value subgroups
Let be a multilinear commutator word, let be a profinite group, and let be a positive integer. Suppose that all -values in are contained in a union of countably…