# Some connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups

Document Type : Research Paper

Author

Department of‎ ‎Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin‎, ‎Iran

Abstract

‎Let $G$ be a finite group‎. ‎We say that the derived covering number of $G$ is finite if and only if there exists a positive integer $n$ such that $C^n=G'$ for all non-central conjugacy classes $C$ of $G$‎. ‎In this paper we characterize solvable groups $G$ in which the derived covering number is finite‎.‎

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#### References

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### History

• Receive Date: 15 May 2014
• Revise Date: 06 September 2014
• Accept Date: 09 October 2014