Abstract.
We prove that a finite group G is \( \cal N \) -constrained if and only if it contains a nilpotent subgroup I satisfying \( C_{G}(I \cap I^{g}) \leq I \cap I^{g} \) for all \( g \in G \) .
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Received: 22 July 2002
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Flavell, P., Medina, J. A characterization of \( \cal N \) -constrained groups. Arch. Math. 82, 1–3 (2004). https://doi.org/10.1007/s00013-003-0835-8
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DOI: https://doi.org/10.1007/s00013-003-0835-8