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Subjects
20-XX Group theory and generalizations
20Dxx Abstract finite groups
20D25 Special subgroups (Frattini, Fitting, etc.)

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Displaying 1 – 4 of 4

Prime Characters and Factorizations of Quasi-Primitive Characters.

Alexandre Turull, Pamela A. Ferguson (1985)

Mathematische Zeitschrift

Products of finite nilpotent groups.

Hermann Heineken (1990)

Mathematische Annalen

Projektive Klassen endlicher Gruppen. I. Schunck- und Gaschützklassen.

Peter Förster (1984)

Mathematische Zeitschrift

Properties of subgroups not containing their centralizers

Lemnouar Noui (2009)

Annales mathématiques Blaise Pascal

In this paper, we give a generalization of Baer Theorem on the injective property of divisible abelian groups. As consequences of the obtained result we find a sufficient condition for a group $G$ to express as semi-direct product of a divisible subgroup $D$ and some subgroup $H$ . We also apply the main Theorem to the $p$ -groups with center of index $p^{2}$ , for some prime $p$ . For these groups we compute $N_{c} (G)$ the number of conjugacy classes and $N_{a}$ the number of abelian maximal subgroups and $N_{n a}$ the number of nonabelian...

Currently displaying 1 – 4 of 4

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