2014
DOI: 10.1142/s0219498814500674
|View full text |Cite
|
Sign up to set email alerts
|

Powers of irreducible characters and conjugacy classes in finite groups

Abstract: 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.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2015
2015
2015
2015

Publication Types

Select...
1

Relationship

1
0

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 9 publications
0
1
0
Order By: Relevance
“…. , h m ∈ G} is the union of conjugacy classes of G. The study of the structure of a group using the properties of products of its conjugacy classes has been the subject of research for many years, see [2,3,7,8,11].…”
Section: Introductionmentioning
confidence: 99%
“…. , h m ∈ G} is the union of conjugacy classes of G. The study of the structure of a group using the properties of products of its conjugacy classes has been the subject of research for many years, see [2,3,7,8,11].…”
Section: Introductionmentioning
confidence: 99%