TY - JOUR ID - 850 TI - FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Rezaei, M. AU - Foruzanfar, Z. AD - Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. AD - Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Y1 - 2017 PY - 2017 VL - 4 IS - 2 SP - 85 EP - 95 KW - ‎Finite group‎ KW - ‎Frobenius group‎ KW - ‎Conjugacy class DO - 10.22044/jas.2017.850 N2 - ‌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. UR - https://jas.shahroodut.ac.ir/article_850.html L1 - https://jas.shahroodut.ac.ir/article_850_f26adfb749347531a3cb078626440a73.pdf ER -