Document Type : Original Manuscript
Authors
1 Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran.
2 Buein Zahra Technical University, Buein Zahra, Qazvin, Iran.
Abstract
Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define kG(A), the number of conjugacy classes of G that intersect A non-trivially. In this paper, we verify the structure of all finite groups G which satisfy the property kG(G-Z(G))=5, and classify them.
Keywords