A correspondence between conjugacy classes and irreducible characters of finite groups

Edward A. Bertram; Marcel Herzog; Arieh Lev

A correspondence between conjugacy classes and irreducible characters of finite groups

Edward A. Bertram^*, Marcel Herzog, Arieh Lev

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

It is shown that for an arbitrary finite group G, there exists a one-one correspondence between the irreducible characters of G and its conjugacy classes such that the class corresponding to a non-principal irreducible character is disjoint from its kernel. All finite groups with a unique such correspondence are also determined.

Original language	English
Pages (from-to)	205-208
Number of pages	4
Journal	Algebra Colloquium
Volume	10
Issue number	2
State	Published - Jun 2003

Keywords

Characters
Conjugacy classes
Finite groups

Cite this

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A correspondence between conjugacy classes and irreducible characters of finite groups

Abstract

Keywords

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