0000000000050121
AUTHOR
Klaus Doerk
On the lattice of J-subnormal subgroups
Eine Bemerkung �ber das Reduzieren von Hallgruppen in endlichen aufl�sbaren Gruppen
Frattiniduale und Fittingklassen endlicher auflösbarer Gruppen
On the residual of a direct product
A question in the theory of saturated formations of finite soluble groups
This paper examines the following question. If\(\mathcal{H}\) and\(\mathcal{F}\) are saturated formations then\(\mathcal{H}_\mathcal{F} \) is defined to be the class of all soluble groups whose\(\mathcal{H} - normalizers\) belong to\(\mathcal{F}\). In general\(\mathcal{H}_\mathcal{F} \) is a formation, but need not be a saturated formation. Here the smallest saturated formation containing\(\mathcal{H}_\mathcal{F} \) is studied.