Document Type : Original Manuscript

Authors

• M. Rezaei ¹
• Z. Foruzanfar ²

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 k_G(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 k_G(G-Z(G))=5, and classify them‎.

Keywords

• ‎Finite group‎
• ‎Frobenius group‎
• ‎Conjugacy class