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Shalev's probabilistic identity conjecture for finitely generated pro- $p$ groups
Shalev's conjecture. If $G$ satisfies some probabilistic identity $w$ , then $G$ satisfies some identity $\tilde{w}$ .
Conjectureopengroup-theory probabilistic-identities pro-p-groupsarXiv posted 2 days ago

Shalev's probabilistic identity conjecture for finitely generated pro-ppp groups