S. M. Robati

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

[ 1 ] - 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.

[ 2 ] - On the Regular Power Graph on the Conjugacy Classes of Finite Groups

The (undirected) power graph on the conjugacy classes PC(G) of a group G is a simple graph in which the vertices are the conjugacy classes of G and two distinct vertices C and C' are adjacent in PC(G) if one is a subset of a power of the other. In this paper, we describe groups whose associated graphs are k-regular for k=5,6.

[ 3 ] - مصور کردن گروه‌ها با نمودار کیلی

- - - - - - - - -چکیده. در این مقاله فرایند ساخت نمودارهای کیلی برخی از ساختارها‏ی تعریف شده در نظریه گروه‌ها را مورد مطالعه قرار می‌دهیم.

[ 4 ] - Nearly Rational Frobenius Groups

In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.

Co-Authors