Geodesic
On groups with many nearly maximal subgroups
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 1, pp. 19-23

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

A subgroup \( M \) of a group \( G \) is nearly maximal if the index \( |G : M | \) is infinite but every subgroup of \( G \) properly containing \( M \) has finite index, and the group \( G \) is called nearly \( IM \) if all its subgroups of infinite index are intersections of nearly maximal subgroups. It is proved that an infinite (generalized) soluble group is nearly \( IM \) if and only if it is either cyclic or dihedral. 
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     author = {Franciosi, Silvana and de Giovanni, Francesco},
     title = {On groups with many nearly maximal subgroups},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {19--23},
     publisher = {mathdoc},
     volume = {Ser. 9, 9},
     number = {1},
     year = {1998},
     zbl = {0924.20021},
     mrnumber = {MR1669256},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_1_a1/}
}
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Franciosi, Silvana; de Giovanni, Francesco. On groups with many nearly maximal subgroups. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 1, pp. 19-23. http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_1_a1/