Gaps in probabilities of satisfying some commutator-like identities

Costantino Delizia,Urban Jezernik,Primož Moravec,Chiara Nicotera

Israel Journal of Mathematics（2020）

引用 4|浏览2

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摘要

We show that there is a positive constant δ < 1 such that the probability of satisfying either the 2-Engel identity [ X 1 , X 2 , X 2 ] = 1 or the metabelian identity [[ X 1 , X 2 ], [ X 3 , X 4 ]] = 1 in a finite group is either 1 or at most δ

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