, Volume 169, Issue 1, pp 203-232

Groups with subnormality for all subgroups that are not finitely generated

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Summary

We characterize the groups given in the title in the case of locally finite, locally nilpotent and radical groups.

Sunto

I gruppi con tutti i sottogruppi nonfinitamente generati subnormali sono caratterizzati nella classe dei gruppi localmente finiti, localmente nilpotenti e radicali.

This work was carried out while the second author visited the University of Würzburg with the aid of Deutsche Forschungsgemeinschaft (DFG). The second author is grateful to DFG for making this visit possible and to Mathematisches Institut Würzburg for the hospitality he enjoyed.