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