- Tytuł:
- Equivalent conditions for p-nilpotence
- Autorzy:
-
Corrádi, Keresztély
Horváth, Erzsébet - Powiązania:
- https://bibliotekanauki.pl/articles/728846.pdf
- Data publikacji:
- 2000
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
p-nilpotent group
p-constrained group
character of a group
Schmidt group
Thompson-ordering
Sylow p-group - Opis:
-
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. - Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 1; 129-139
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł