Y. Zamani

collaborators

4 papers

math.GR2023

Some results on the solubility graph of a finite group

Mina Poozesh, Yousef Zamani

Let $G$ be a finite insoluble group with soluble radical $R (G)$ . The solubility graph $Γ_{S} (G)$ of $G$ is a simple graph whose vertices are the elements of $G ∖ R (G)$ …

math.RT2023

Generalized Cartesian Symmetry Classes

Seyyed Sadegh Gholami, Yousef Zamani

Let V be a unitary space. Suppose G is a subgroup of the full symmetric group S_m and X is an irreducible unitary representation of G. In this paper, we introduce the generalized C…

math.RT2023

Cartesian symmetry classes associated with certain subgroups of S_m

Seyyed Sadegh Gholami, Yousef Zamani

Let $V$ be an $n$ -dimensional inner product space. Assume $G$ is a subgroup of the symmetric group of degree $m$ , and $λ$ is an irreducible character of $G$ . Consider the \emph{Car…

math.GR2022

The impact of the solubilizer of an element on the structure of a finite group

Hamid Mousavi, Mina Poozesh, Yousef Zamani

Let $G$ be a finite group, and let $x$ be an element of $G$ . Denote by $\Sol_G(x)$ the set of all $y \in G$ such that the group generated by $x$ and $y$ is soluble. We investigate…