Center of some solvable groups with one defining relation

1998 ◽  
Vol 64 (6) ◽  
pp. 798-803
Author(s):  
E. I. Timoshenko
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

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