On finite solvable groups in which normality is a transitive relation

2000 ◽  
Vol 3 (2) ◽  
Author(s):  
MARIAGRAZIA BIANCHI ◽  
ANNA GILLIO BERTA MAURI ◽  
MARCEL HERZOG ◽  
LIBERO VERARDI
Author(s):  
A. Ballester-Bolinches ◽  
J. C. Beidleman ◽  
A. D. Feldman ◽  
H. Heineken ◽  
M. F. Ragland

Author(s):  
Olaf Manz ◽  
Thomas R. Wolf
Keyword(s):  

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Jiakuan Lu ◽  
Kaisun Wu ◽  
Wei Meng

AbstractLet 𝐺 be a finite group. An irreducible character of 𝐺 is called a 𝒫-character if it is an irreducible constituent of (1_{H})^{G} for some maximal subgroup 𝐻 of 𝐺. In this paper, we obtain some conditions for a solvable group 𝐺 to be 𝑝-nilpotent or 𝑝-closed in terms of 𝒫-characters.


1984 ◽  
Vol 87 (1) ◽  
pp. 222-246 ◽  
Author(s):  
David Gluck ◽  
Thomas R Wolf

1969 ◽  
Vol 5 (3) ◽  
pp. 233-237
Author(s):  
B. A. Kramarev
Keyword(s):  

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