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Equivalent conditions for p-nilpotence

Keresztély CorrádiErzsébet Horváth — 2000

Discussiones Mathematicae - General Algebra and Applications

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...

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