, Volume 58, Issue 1, pp 33-41
Date: 21 Feb 2009

Minimal non- \({\mathcal {F}}\) -groups

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Abstract

Let \({\mathcal {F}}\) be a saturated formation. We describe minimal non- \({\mathcal {F}}\) -, minimal non- \({\mathcal{AF}}\) -, and minimal non-metabelian groups.

Dedicated to L. A. Shemetkov on the occasion of his seventieth birthday.
Communicated by F. de Giomanni.