FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES

نویسندگان
Rezaei, M. ID 1
Foruzanfar, Z. ID 2

1 Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran.

2 Buein Zahra Technical University, Buein Zahra, Qazvin, Iran.

doi
10.22044/jas.2017.850
چکیده

‎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.

کلیدواژه‌ها
‎Finite group‎, ‎Frobenius group‎, ‎Conjugacy class