Some connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups
نویسنده
چکیده مقاله:
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.
منابع مشابه
some connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups
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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عنوان ژورنال
دوره 42 شماره 1
صفحات 19- 25
تاریخ انتشار 2016-02-01
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