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
emph{The (undirected) power graph on the conjugacy classes} $mathcal{P_C}(G)$ 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 $mathcal{P_C}(G)$ 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