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.
Rezaei, M. and Foruzanfar, Z. (2017). FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES. Journal of Algebraic Systems, 4(2), 85-95. doi: 10.22044/jas.2017.850
MLA
Rezaei, M. , and Foruzanfar, Z. . "FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES", Journal of Algebraic Systems, 4, 2, 2017, 85-95. doi: 10.22044/jas.2017.850
HARVARD
Rezaei, M., Foruzanfar, Z. (2017). 'FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES', Journal of Algebraic Systems, 4(2), pp. 85-95. doi: 10.22044/jas.2017.850
CHICAGO
M. Rezaei and Z. Foruzanfar, "FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES," Journal of Algebraic Systems, 4 2 (2017): 85-95, doi: 10.22044/jas.2017.850
VANCOUVER
Rezaei, M., Foruzanfar, Z. FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES. Journal of Algebraic Systems, 2017; 4(2): 85-95. doi: 10.22044/jas.2017.850