cmi-entrance 2018 Q1

cmi-entrance · India · pgmath 4 marks Not Maths
Let $G$ be a group of order 6. Let $C_1, C_2, \ldots, C_k$ be the distinct conjugacy classes of $G$. Which of the following sequences of integers are possible values of $\left(\left|C_1\right|, \left|C_2\right|, \ldots, \left|C_k\right|\right)$?
(A) $(1,1,1,1,1,1)$;
(B) $(1,5)$;
(C) $(3,3)$;
(D) $(1,2,3)$.
Let $G$ be a group of order 6. Let $C_1, C_2, \ldots, C_k$ be the distinct conjugacy classes of $G$. Which of the following sequences of integers are possible values of $\left(\left|C_1\right|, \left|C_2\right|, \ldots, \left|C_k\right|\right)$?\\
(A) $(1,1,1,1,1,1)$;\\
(B) $(1,5)$;\\
(C) $(3,3)$;\\
(D) $(1,2,3)$.