Erratum to: Real-Imaginary Conjugacy Classes and Real-Imaginary Irreducible Characters in Finite Groups

2021 ◽  
Vol 110 (4) ◽  
pp. 638-639
Author(s):  
A Beltran ◽  
Sajjad Mahmood Robati
Keyword(s):  
Finite Groups ◽  
Conjugacy Classes ◽  
Irreducible Characters

scholarly journals An analogy between products of two conjugacy classes and products of two irreducible characters in finite groups

1987 ◽  
Vol 30 (1) ◽  
pp. 7-22 ◽  
Author(s):  
Zvi Arad ◽  
Elsa Fisman
Keyword(s):  
Finite Group ◽  
Finite Groups ◽  
Conjugacy Classes ◽  
Irreducible Characters ◽  
Basic Concepts ◽  
A Finite Group

It is well-known that the number of irreducible characters of a finite group G is equal to the number of conjugate classes of G. The purpose of this article is to give some analogous properties between these basic concepts.

Powers of irreducible characters and conjugacy classes in finite groups

2014 ◽  
Vol 13 (08) ◽  
pp. 1450067 ◽  
Author(s):  
M. R. Darafsheh ◽  
S. M. Robati
Keyword(s):  
Finite Group ◽  
Positive Integer ◽  
Finite Groups ◽  
Upper Bounds ◽  
Conjugacy Classes ◽  
Covering Number ◽  
Irreducible Characters ◽  
A Finite Group

Let G be a finite group. We define the derived covering number and the derived character covering number of G, denoted respectively by dcn (G) and dccn (G), as the smallest positive integer n such that Cn = G′ for all non-central conjugacy classes C of G and Irr ((χn)G′) = Irr (G′) for all nonlinear irreducible characters χ of G, respectively. In this paper, we obtain some results on dcn and dccn for a finite group G, such as the existence of these numbers and upper bounds on them.

BRAUER PAIRS OF VZ-GROUPS

2008 ◽  
Vol 07 (05) ◽  
pp. 663-670 ◽  
Author(s):  
ADRIANA NENCIU
Keyword(s):  
Finite Groups ◽  
Sufficient Conditions ◽  
Conjugacy Classes ◽  
Necessary And Sufficient Conditions ◽  
Irreducible Characters ◽  
Necessary And Sufficient ◽  
Brauer Pairs

Two non-isomorphic finite groups form a Brauer pair if there exist a bijection for the conjugacy classes and a bijection for the irreducible characters that preserve all the character values and the power map. A group is called a VZ-group if all its nonlinear irreducible characters vanish off the center. In this paper we give necessary and sufficient conditions for two non-isomorphic VZ-groups to form a Brauer pair.

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