Center of a group with one defining relation in the variety of 2-stage solvable groups

1974 ◽  
Vol 14 (6) ◽  
pp. 954-957
Author(s):  
E. I. Timoshenko
Keyword(s):  
Solvable Groups ◽  
Defining Relation ◽  
Center Of A Group

The center of a group with a single defining relation

1964 ◽  
Vol 155 (3) ◽  
pp. 246-251 ◽  
Author(s):  
Kunio Murasugi
Keyword(s):  
Defining Relation ◽  
Center Of A Group

Center of some solvable groups with one defining relation

1998 ◽  
Vol 64 (6) ◽  
pp. 798-803
Author(s):  
E. I. Timoshenko
Keyword(s):  
Solvable Groups ◽  
Defining Relation

Representations of Solvable Groups

1993 ◽  
Author(s):  
Olaf Manz ◽  
Thomas R. Wolf
Keyword(s):  
Solvable Groups

𝒫-characters and the structure of finite solvable groups

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Jiakuan Lu ◽  
Kaisun Wu ◽  
Wei Meng
Keyword(s):  
Finite Group ◽  
Maximal Subgroup ◽  
Solvable Group ◽  
Irreducible Character ◽  
Solvable Groups ◽  
Irreducible Constituent ◽  
A Finite Group

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.

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