Rezaei, M., 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
M. Rezaei; 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
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
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
FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES
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 $G$ which 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.
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