cmi-entrance 2021 Q1

cmi-entrance · India · pgmath 4 marks Groups Group Order and Structure Theorems
Which of the following can not be the class equation for a group of appropriate order?
(A) $14 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 7$.
(B) $18 = 1 + 1 + 1 + 1 + 2 + 3 + 9$.
(C) $6 = 1 + 2 + 3$.
(D) $31 = 1 + 3 + 6 + 6 + 7 + 8$.
Which of the following can not be the class equation for a group of appropriate order?\\
(A) $14 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 7$.\\
(B) $18 = 1 + 1 + 1 + 1 + 2 + 3 + 9$.\\
(C) $6 = 1 + 2 + 3$.\\
(D) $31 = 1 + 3 + 6 + 6 + 7 + 8$.