Geodesic
Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank
Maria De Falco1 ; Francesco de Giovanni1 ; Carmela Musella1
1 Dipartimento di Matematica e Applicazioni University of Napoli Federico II via Cintia I-80126 Napoli, Italy
Colloquium Mathematicum, Tome 131 (2013) no. 2, pp. 233-239.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.
DOI : 10.4064/cm131-2-6
Keywords: proved locally soluble group infinite rank has only finitely many non trivial conjugacy classes subgroups infinite rank its subgroups normal

Maria De Falco 1 ; Francesco de Giovanni 1 ; Carmela Musella 1

1 Dipartimento di Matematica e Applicazioni University of Napoli Federico II via Cintia I-80126 Napoli, Italy 
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Maria De Falco; Francesco de Giovanni; Carmela Musella. Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank. Colloquium Mathematicum, Tome 131 (2013) no. 2, pp. 233-239. doi : 10.4064/cm131-2-6. http://geodesic.mathdoc.fr/articles/10.4064/cm131-2-6/

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