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Equivalent conditions for p-nilpotence

100%

Corrádi K., Horváth E.

Discussiones Mathematicae - General Algebra and Applications

2000

tom 20

nr 1

129-139

In the first part of this paper we prove without using the transfer or characters the equivalence of some conditions, each of which would imply p-nilpotence of a finite group G. The implication of p-nilpotence also can be deduced without the transfer or characters if the group is p-constrained. For p-constrained groups we also prove an equivalent condition so that $O^{q'}(G)P$ should be p-nilpotent. We show an example that this result is not true for some non-p-constrained groups. In the second part of the paper we prove a generalization of a theorem of Itô with the help of the knowledge of the irreducible characters of the minimal non-nilpotent groups.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Corrádi K.

1 Horváth E.

1 2000

Wyniki wyszukiwania

Equivalent conditions for p-nilpotence