Equivalent conditions for p-nilpotence
Keresztély Corrádi ; Erzsébet Horváth
Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000), p. 129-139 / Harvested from The Polish Digital Mathematics Library
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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 Oq'(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.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:287702 
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Keresztély Corrádi; Erzsébet Horváth. Equivalent conditions for p-nilpotence. Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000) pp. 129-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1011/

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