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arxiv: math/0212333 · v1 · submitted 2002-12-24 · 🧮 math.GR

Groupes satisfaisant une condition nilpotence

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keywords conditioncontainselementseverygroupesgroupsmathcalnilpotence
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In this Note we study the groups $G$ satisfying condition $(\mathcal{N},n)$, that is, every subset of $G$ with $n+1$ elements contains a pair $\{x,y\}$ such that the subgroup $<x,y>$ is nilpotent.

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